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Finding the Fourth Proportional to 5,735.84, 8,607 and 5,691.92

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Solution

The fourth proportional to 5,735.84, 8,607 and 5,691.92 is: 8,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.84 : 8,607 = 5,691.92 : x
  2. Step 2: Convert to fraction form
    5,735.84/8,607 = 5,691.92/x
  3. Step 3: Cross multiply
    5,735.84x = 8,607 × 5,691.92
  4. Step 4: Simplify right side
    5,735.84x = 48,990,355.44
  5. Step 5: Solve for x
    x = 48,990,355.44/5,735.84
  6. Step 6: Final answer
    x = 8,541.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.