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Finding the Fourth Proportional to 5,182.34, 7,772.18 and 1,484.58

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Solution

The fourth proportional to 5,182.34, 7,772.18 and 1,484.58 is: 2,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.34 : 7,772.18 = 1,484.58 : x
  2. Step 2: Convert to fraction form
    5,182.34/7,772.18 = 1,484.58/x
  3. Step 3: Cross multiply
    5,182.34x = 7,772.18 × 1,484.58
  4. Step 4: Simplify right side
    5,182.34x = 11,538,422.98
  5. Step 5: Solve for x
    x = 11,538,422.98/5,182.34
  6. Step 6: Final answer
    x = 2,226.49

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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.