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Finding the Fourth Proportional to 4,507.16, 6,761.10 and 1,586.12

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Solution

The fourth proportional to 4,507.16, 6,761.10 and 1,586.12 is: 2,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.16 : 6,761.10 = 1,586.12 : x
  2. Step 2: Convert to fraction form
    4,507.16/6,761.10 = 1,586.12/x
  3. Step 3: Cross multiply
    4,507.16x = 6,761.10 × 1,586.12
  4. Step 4: Simplify right side
    4,507.16x = 10,723,915.93
  5. Step 5: Solve for x
    x = 10,723,915.93/4,507.16
  6. Step 6: Final answer
    x = 2,379.31

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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.