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Finding the Fourth Proportional to 5,549.64, 7,658.21 and 3,160.20

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Solution

The fourth proportional to 5,549.64, 7,658.21 and 3,160.20 is: 4,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.64 : 7,658.21 = 3,160.20 : x
  2. Step 2: Convert to fraction form
    5,549.64/7,658.21 = 3,160.20/x
  3. Step 3: Cross multiply
    5,549.64x = 7,658.21 × 3,160.20
  4. Step 4: Simplify right side
    5,549.64x = 24,201,459.44
  5. Step 5: Solve for x
    x = 24,201,459.44/5,549.64
  6. Step 6: Final answer
    x = 4,360.91

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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.