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Finding the Fourth Proportional to 4,314.71, 6,472.11 and 2,365.85

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Solution

The fourth proportional to 4,314.71, 6,472.11 and 2,365.85 is: 3,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.71 : 6,472.11 = 2,365.85 : x
  2. Step 2: Convert to fraction form
    4,314.71/6,472.11 = 2,365.85/x
  3. Step 3: Cross multiply
    4,314.71x = 6,472.11 × 2,365.85
  4. Step 4: Simplify right side
    4,314.71x = 15,312,009.08
  5. Step 5: Solve for x
    x = 15,312,009.08/4,314.71
  6. Step 6: Final answer
    x = 3,548.80

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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.