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Finding the Fourth Proportional to 5,687.13, 8,530.72 and 3,106.47

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Solution

The fourth proportional to 5,687.13, 8,530.72 and 3,106.47 is: 4,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.13 : 8,530.72 = 3,106.47 : x
  2. Step 2: Convert to fraction form
    5,687.13/8,530.72 = 3,106.47/x
  3. Step 3: Cross multiply
    5,687.13x = 8,530.72 × 3,106.47
  4. Step 4: Simplify right side
    5,687.13x = 26,500,402.00
  5. Step 5: Solve for x
    x = 26,500,402.00/5,687.13
  6. Step 6: Final answer
    x = 4,659.72

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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.