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Finding the Fourth Proportional to 5,424.64, 8,130.99 and 3,549.76

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Solution

The fourth proportional to 5,424.64, 8,130.99 and 3,549.76 is: 5,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.64 : 8,130.99 = 3,549.76 : x
  2. Step 2: Convert to fraction form
    5,424.64/8,130.99 = 3,549.76/x
  3. Step 3: Cross multiply
    5,424.64x = 8,130.99 × 3,549.76
  4. Step 4: Simplify right side
    5,424.64x = 28,863,063.06
  5. Step 5: Solve for x
    x = 28,863,063.06/5,424.64
  6. Step 6: Final answer
    x = 5,320.73

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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.