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Finding the Fourth Proportional to 3,471.02, 5,202.05 and 3,024.47

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Solution

The fourth proportional to 3,471.02, 5,202.05 and 3,024.47 is: 4,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.02 : 5,202.05 = 3,024.47 : x
  2. Step 2: Convert to fraction form
    3,471.02/5,202.05 = 3,024.47/x
  3. Step 3: Cross multiply
    3,471.02x = 5,202.05 × 3,024.47
  4. Step 4: Simplify right side
    3,471.02x = 15,733,444.16
  5. Step 5: Solve for x
    x = 15,733,444.16/3,471.02
  6. Step 6: Final answer
    x = 4,532.80

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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.