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Finding the Fourth Proportional to 5,686.67, 8,530.91 and 2,400.24

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Solution

The fourth proportional to 5,686.67, 8,530.91 and 2,400.24 is: 3,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.67 : 8,530.91 = 2,400.24 : x
  2. Step 2: Convert to fraction form
    5,686.67/8,530.91 = 2,400.24/x
  3. Step 3: Cross multiply
    5,686.67x = 8,530.91 × 2,400.24
  4. Step 4: Simplify right side
    5,686.67x = 20,476,219.42
  5. Step 5: Solve for x
    x = 20,476,219.42/5,686.67
  6. Step 6: Final answer
    x = 3,600.74

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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.