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Finding the Fourth Proportional to 5,352.86, 8,031.32 and 2,429.16

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Solution

The fourth proportional to 5,352.86, 8,031.32 and 2,429.16 is: 3,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.86 : 8,031.32 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    5,352.86/8,031.32 = 2,429.16/x
  3. Step 3: Cross multiply
    5,352.86x = 8,031.32 × 2,429.16
  4. Step 4: Simplify right side
    5,352.86x = 19,509,361.29
  5. Step 5: Solve for x
    x = 19,509,361.29/5,352.86
  6. Step 6: Final answer
    x = 3,644.66

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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.