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Finding the Fourth Proportional to 5,000.20, 7,499.64 and 1,302.68

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Solution

The fourth proportional to 5,000.20, 7,499.64 and 1,302.68 is: 1,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.20 : 7,499.64 = 1,302.68 : x
  2. Step 2: Convert to fraction form
    5,000.20/7,499.64 = 1,302.68/x
  3. Step 3: Cross multiply
    5,000.20x = 7,499.64 × 1,302.68
  4. Step 4: Simplify right side
    5,000.20x = 9,769,631.04
  5. Step 5: Solve for x
    x = 9,769,631.04/5,000.20
  6. Step 6: Final answer
    x = 1,953.85

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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.