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Finding the Fourth Proportional to 5,686.79, 8,530.90 and 2,223.59

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Solution

The fourth proportional to 5,686.79, 8,530.90 and 2,223.59 is: 3,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.79 : 8,530.90 = 2,223.59 : x
  2. Step 2: Convert to fraction form
    5,686.79/8,530.90 = 2,223.59/x
  3. Step 3: Cross multiply
    5,686.79x = 8,530.90 × 2,223.59
  4. Step 4: Simplify right side
    5,686.79x = 18,969,175.72
  5. Step 5: Solve for x
    x = 18,969,175.72/5,686.79
  6. Step 6: Final answer
    x = 3,335.66

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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.