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Finding the Fourth Proportional to 3,569.74, 5,350.78 and 1,488.17

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Solution

The fourth proportional to 3,569.74, 5,350.78 and 1,488.17 is: 2,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.74 : 5,350.78 = 1,488.17 : x
  2. Step 2: Convert to fraction form
    3,569.74/5,350.78 = 1,488.17/x
  3. Step 3: Cross multiply
    3,569.74x = 5,350.78 × 1,488.17
  4. Step 4: Simplify right side
    3,569.74x = 7,962,877.14
  5. Step 5: Solve for x
    x = 7,962,877.14/3,569.74
  6. Step 6: Final answer
    x = 2,230.66

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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.