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Finding the Fourth Proportional to 4,346.14, 6,520.17 and 1,384.78

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Solution

The fourth proportional to 4,346.14, 6,520.17 and 1,384.78 is: 2,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.14 : 6,520.17 = 1,384.78 : x
  2. Step 2: Convert to fraction form
    4,346.14/6,520.17 = 1,384.78/x
  3. Step 3: Cross multiply
    4,346.14x = 6,520.17 × 1,384.78
  4. Step 4: Simplify right side
    4,346.14x = 9,029,001.01
  5. Step 5: Solve for x
    x = 9,029,001.01/4,346.14
  6. Step 6: Final answer
    x = 2,077.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.