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Finding the Fourth Proportional to 3,086.38, 4,624.71 and 1,697.68

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Solution

The fourth proportional to 3,086.38, 4,624.71 and 1,697.68 is: 2,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.38 : 4,624.71 = 1,697.68 : x
  2. Step 2: Convert to fraction form
    3,086.38/4,624.71 = 1,697.68/x
  3. Step 3: Cross multiply
    3,086.38x = 4,624.71 × 1,697.68
  4. Step 4: Simplify right side
    3,086.38x = 7,851,277.67
  5. Step 5: Solve for x
    x = 7,851,277.67/3,086.38
  6. Step 6: Final answer
    x = 2,543.85

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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.