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Finding the Fourth Proportional to 5,109.90, 7,652.70 and 5,109.90

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Solution

The fourth proportional to 5,109.90, 7,652.70 and 5,109.90 is: 7,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.90 : 7,652.70 = 5,109.90 : x
  2. Step 2: Convert to fraction form
    5,109.90/7,652.70 = 5,109.90/x
  3. Step 3: Cross multiply
    5,109.90x = 7,652.70 × 5,109.90
  4. Step 4: Simplify right side
    5,109.90x = 39,104,531.73
  5. Step 5: Solve for x
    x = 39,104,531.73/5,109.90
  6. Step 6: Final answer
    x = 7,652.70

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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.