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Finding the Fourth Proportional to 5,322.39, 7,984.68 and 1,624.90

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Solution

The fourth proportional to 5,322.39, 7,984.68 and 1,624.90 is: 2,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.39 : 7,984.68 = 1,624.90 : x
  2. Step 2: Convert to fraction form
    5,322.39/7,984.68 = 1,624.90/x
  3. Step 3: Cross multiply
    5,322.39x = 7,984.68 × 1,624.90
  4. Step 4: Simplify right side
    5,322.39x = 12,974,306.53
  5. Step 5: Solve for x
    x = 12,974,306.53/5,322.39
  6. Step 6: Final answer
    x = 2,437.68

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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.