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Finding the Fourth Proportional to 5,890.52, 8,124.74 and 5,000.16

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Solution

The fourth proportional to 5,890.52, 8,124.74 and 5,000.16 is: 6,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.52 : 8,124.74 = 5,000.16 : x
  2. Step 2: Convert to fraction form
    5,890.52/8,124.74 = 5,000.16/x
  3. Step 3: Cross multiply
    5,890.52x = 8,124.74 × 5,000.16
  4. Step 4: Simplify right side
    5,890.52x = 40,625,024.18
  5. Step 5: Solve for x
    x = 40,625,024.18/5,890.52
  6. Step 6: Final answer
    x = 6,896.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.