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Finding the Fourth Proportional to 5,460.62, 8,176.86 and 3,792.31

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Solution

The fourth proportional to 5,460.62, 8,176.86 and 3,792.31 is: 5,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.62 : 8,176.86 = 3,792.31 : x
  2. Step 2: Convert to fraction form
    5,460.62/8,176.86 = 3,792.31/x
  3. Step 3: Cross multiply
    5,460.62x = 8,176.86 × 3,792.31
  4. Step 4: Simplify right side
    5,460.62x = 31,009,167.50
  5. Step 5: Solve for x
    x = 31,009,167.50/5,460.62
  6. Step 6: Final answer
    x = 5,678.70

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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.