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Finding the Fourth Proportional to 5,534.52, 7,638.48 and 3,549.78

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Solution

The fourth proportional to 5,534.52, 7,638.48 and 3,549.78 is: 4,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.52 : 7,638.48 = 3,549.78 : x
  2. Step 2: Convert to fraction form
    5,534.52/7,638.48 = 3,549.78/x
  3. Step 3: Cross multiply
    5,534.52x = 7,638.48 × 3,549.78
  4. Step 4: Simplify right side
    5,534.52x = 27,114,923.53
  5. Step 5: Solve for x
    x = 27,114,923.53/5,534.52
  6. Step 6: Final answer
    x = 4,899.24

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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.