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Finding the Fourth Proportional to 5,057.62, 7,585.95 and 1,359.71

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Solution

The fourth proportional to 5,057.62, 7,585.95 and 1,359.71 is: 2,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.62 : 7,585.95 = 1,359.71 : x
  2. Step 2: Convert to fraction form
    5,057.62/7,585.95 = 1,359.71/x
  3. Step 3: Cross multiply
    5,057.62x = 7,585.95 × 1,359.71
  4. Step 4: Simplify right side
    5,057.62x = 10,314,692.07
  5. Step 5: Solve for x
    x = 10,314,692.07/5,057.62
  6. Step 6: Final answer
    x = 2,039.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.