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Finding the Fourth Proportional to 5,706.29, 8,559.42 and 4,156.16

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Solution

The fourth proportional to 5,706.29, 8,559.42 and 4,156.16 is: 6,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.29 : 8,559.42 = 4,156.16 : x
  2. Step 2: Convert to fraction form
    5,706.29/8,559.42 = 4,156.16/x
  3. Step 3: Cross multiply
    5,706.29x = 8,559.42 × 4,156.16
  4. Step 4: Simplify right side
    5,706.29x = 35,574,319.03
  5. Step 5: Solve for x
    x = 35,574,319.03/5,706.29
  6. Step 6: Final answer
    x = 6,234.23

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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.