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Finding the Fourth Proportional to 6,776.48, 9,352 and 3,792.58

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Solution

The fourth proportional to 6,776.48, 9,352 and 3,792.58 is: 5,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.48 : 9,352 = 3,792.58 : x
  2. Step 2: Convert to fraction form
    6,776.48/9,352 = 3,792.58/x
  3. Step 3: Cross multiply
    6,776.48x = 9,352 × 3,792.58
  4. Step 4: Simplify right side
    6,776.48x = 35,468,208.16
  5. Step 5: Solve for x
    x = 35,468,208.16/6,776.48
  6. Step 6: Final answer
    x = 5,234.02

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Why These Related Problems?

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