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Finding the Fourth Proportional to 3,114.71, 4,663.55 and 3,032.09

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Solution

The fourth proportional to 3,114.71, 4,663.55 and 3,032.09 is: 4,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.71 : 4,663.55 = 3,032.09 : x
  2. Step 2: Convert to fraction form
    3,114.71/4,663.55 = 3,032.09/x
  3. Step 3: Cross multiply
    3,114.71x = 4,663.55 × 3,032.09
  4. Step 4: Simplify right side
    3,114.71x = 14,140,287.58
  5. Step 5: Solve for x
    x = 14,140,287.58/3,114.71
  6. Step 6: Final answer
    x = 4,539.85

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