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Finding the Fourth Proportional to 5,660.16, 8,487.36 and 2,580

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Solution

The fourth proportional to 5,660.16, 8,487.36 and 2,580 is: 3,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.16 : 8,487.36 = 2,580 : x
  2. Step 2: Convert to fraction form
    5,660.16/8,487.36 = 2,580/x
  3. Step 3: Cross multiply
    5,660.16x = 8,487.36 × 2,580
  4. Step 4: Simplify right side
    5,660.16x = 21,897,388.80
  5. Step 5: Solve for x
    x = 21,897,388.80/5,660.16
  6. Step 6: Final answer
    x = 3,868.69

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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.