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Finding the Fourth Proportional to 4,712.40, 7,052.40 and 3,254.40

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Solution

The fourth proportional to 4,712.40, 7,052.40 and 3,254.40 is: 4,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.40 : 7,052.40 = 3,254.40 : x
  2. Step 2: Convert to fraction form
    4,712.40/7,052.40 = 3,254.40/x
  3. Step 3: Cross multiply
    4,712.40x = 7,052.40 × 3,254.40
  4. Step 4: Simplify right side
    4,712.40x = 22,951,330.56
  5. Step 5: Solve for x
    x = 22,951,330.56/4,712.40
  6. Step 6: Final answer
    x = 4,870.41

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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.