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Finding the Fourth Proportional to 5,484.24, 7,566 and 3,384.72

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Solution

The fourth proportional to 5,484.24, 7,566 and 3,384.72 is: 4,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.24 : 7,566 = 3,384.72 : x
  2. Step 2: Convert to fraction form
    5,484.24/7,566 = 3,384.72/x
  3. Step 3: Cross multiply
    5,484.24x = 7,566 × 3,384.72
  4. Step 4: Simplify right side
    5,484.24x = 25,608,791.52
  5. Step 5: Solve for x
    x = 25,608,791.52/5,484.24
  6. Step 6: Final answer
    x = 4,669.52

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