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Finding the Fourth Proportional to 5,803.92, 8,716.32 and 5,569.02

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Solution

The fourth proportional to 5,803.92, 8,716.32 and 5,569.02 is: 8,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.92 : 8,716.32 = 5,569.02 : x
  2. Step 2: Convert to fraction form
    5,803.92/8,716.32 = 5,569.02/x
  3. Step 3: Cross multiply
    5,803.92x = 8,716.32 × 5,569.02
  4. Step 4: Simplify right side
    5,803.92x = 48,541,360.41
  5. Step 5: Solve for x
    x = 48,541,360.41/5,803.92
  6. Step 6: Final answer
    x = 8,363.55

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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.