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Finding the Fourth Proportional to 5,657.95, 8,470.50 and 3,459.97

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Solution

The fourth proportional to 5,657.95, 8,470.50 and 3,459.97 is: 5,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.95 : 8,470.50 = 3,459.97 : x
  2. Step 2: Convert to fraction form
    5,657.95/8,470.50 = 3,459.97/x
  3. Step 3: Cross multiply
    5,657.95x = 8,470.50 × 3,459.97
  4. Step 4: Simplify right side
    5,657.95x = 29,307,675.89
  5. Step 5: Solve for x
    x = 29,307,675.89/5,657.95
  6. Step 6: Final answer
    x = 5,179.91

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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.