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Finding the Fourth Proportional to 5,697.68, 7,855.80 and 4,125.20

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Solution

The fourth proportional to 5,697.68, 7,855.80 and 4,125.20 is: 5,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.68 : 7,855.80 = 4,125.20 : x
  2. Step 2: Convert to fraction form
    5,697.68/7,855.80 = 4,125.20/x
  3. Step 3: Cross multiply
    5,697.68x = 7,855.80 × 4,125.20
  4. Step 4: Simplify right side
    5,697.68x = 32,406,746.16
  5. Step 5: Solve for x
    x = 32,406,746.16/5,697.68
  6. Step 6: Final answer
    x = 5,687.71

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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.