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Finding the Fourth Proportional to 4,332.38, 6,499.83 and 1,559

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Solution

The fourth proportional to 4,332.38, 6,499.83 and 1,559 is: 2,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.38 : 6,499.83 = 1,559 : x
  2. Step 2: Convert to fraction form
    4,332.38/6,499.83 = 1,559/x
  3. Step 3: Cross multiply
    4,332.38x = 6,499.83 × 1,559
  4. Step 4: Simplify right side
    4,332.38x = 10,133,234.97
  5. Step 5: Solve for x
    x = 10,133,234.97/4,332.38
  6. Step 6: Final answer
    x = 2,338.95

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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.