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Finding the Fourth Proportional to 5,566.92, 8,356.01 and 4,937.82

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Solution

The fourth proportional to 5,566.92, 8,356.01 and 4,937.82 is: 7,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.92 : 8,356.01 = 4,937.82 : x
  2. Step 2: Convert to fraction form
    5,566.92/8,356.01 = 4,937.82/x
  3. Step 3: Cross multiply
    5,566.92x = 8,356.01 × 4,937.82
  4. Step 4: Simplify right side
    5,566.92x = 41,260,448.61
  5. Step 5: Solve for x
    x = 41,260,448.61/5,566.92
  6. Step 6: Final answer
    x = 7,411.72

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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.