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Finding the Fourth Proportional to 4,291.70, 6,437.55 and 1,516.86

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Solution

The fourth proportional to 4,291.70, 6,437.55 and 1,516.86 is: 2,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.70 : 6,437.55 = 1,516.86 : x
  2. Step 2: Convert to fraction form
    4,291.70/6,437.55 = 1,516.86/x
  3. Step 3: Cross multiply
    4,291.70x = 6,437.55 × 1,516.86
  4. Step 4: Simplify right side
    4,291.70x = 9,764,862.09
  5. Step 5: Solve for x
    x = 9,764,862.09/4,291.70
  6. Step 6: Final answer
    x = 2,275.29

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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.