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Finding the Fourth Proportional to 5,692,633.14, 8,538,943.02 and 1,854,449.40

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Solution

The fourth proportional to 5,692,633.14, 8,538,943.02 and 1,854,449.40 is: 2,781,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,633.14 : 8,538,943.02 = 1,854,449.40 : x
  2. Step 2: Convert to fraction form
    5,692,633.14/8,538,943.02 = 1,854,449.40/x
  3. Step 3: Cross multiply
    5,692,633.14x = 8,538,943.02 × 1,854,449.40
  4. Step 4: Simplify right side
    5,692,633.14x = 15,835,037,760,073.19
  5. Step 5: Solve for x
    x = 15,835,037,760,073.19/5,692,633.14
  6. Step 6: Final answer
    x = 2,781,671.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.