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Finding the Fourth Proportional to 5,721.90, 8,566.65 and 5,138.70

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Solution

The fourth proportional to 5,721.90, 8,566.65 and 5,138.70 is: 7,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.90 : 8,566.65 = 5,138.70 : x
  2. Step 2: Convert to fraction form
    5,721.90/8,566.65 = 5,138.70/x
  3. Step 3: Cross multiply
    5,721.90x = 8,566.65 × 5,138.70
  4. Step 4: Simplify right side
    5,721.90x = 44,021,444.36
  5. Step 5: Solve for x
    x = 44,021,444.36/5,721.90
  6. Step 6: Final answer
    x = 7,693.50

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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.