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Finding the Fourth Proportional to 4,866.74, 6,709.47 and 3,540.50

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Solution

The fourth proportional to 4,866.74, 6,709.47 and 3,540.50 is: 4,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.74 : 6,709.47 = 3,540.50 : x
  2. Step 2: Convert to fraction form
    4,866.74/6,709.47 = 3,540.50/x
  3. Step 3: Cross multiply
    4,866.74x = 6,709.47 × 3,540.50
  4. Step 4: Simplify right side
    4,866.74x = 23,754,878.54
  5. Step 5: Solve for x
    x = 23,754,878.54/4,866.74
  6. Step 6: Final answer
    x = 4,881.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.