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Finding the Fourth Proportional to 4,473.92, 6,174.12 and 2,484.38

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Solution

The fourth proportional to 4,473.92, 6,174.12 and 2,484.38 is: 3,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.92 : 6,174.12 = 2,484.38 : x
  2. Step 2: Convert to fraction form
    4,473.92/6,174.12 = 2,484.38/x
  3. Step 3: Cross multiply
    4,473.92x = 6,174.12 × 2,484.38
  4. Step 4: Simplify right side
    4,473.92x = 15,338,829.38
  5. Step 5: Solve for x
    x = 15,338,829.38/4,473.92
  6. Step 6: Final answer
    x = 3,428.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.