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Finding the Fourth Proportional to 5,662, 8,483.52 and 4,010.56

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Solution

The fourth proportional to 5,662, 8,483.52 and 4,010.56 is: 6,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 8,483.52 = 4,010.56 : x
  2. Step 2: Convert to fraction form
    5,662/8,483.52 = 4,010.56/x
  3. Step 3: Cross multiply
    5,662x = 8,483.52 × 4,010.56
  4. Step 4: Simplify right side
    5,662x = 34,023,665.97
  5. Step 5: Solve for x
    x = 34,023,665.97/5,662
  6. Step 6: Final answer
    x = 6,009.13

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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.