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Finding the Fourth Proportional to 3,569.49, 5,354.64 and 1,488.38

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Solution

The fourth proportional to 3,569.49, 5,354.64 and 1,488.38 is: 2,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.49 : 5,354.64 = 1,488.38 : x
  2. Step 2: Convert to fraction form
    3,569.49/5,354.64 = 1,488.38/x
  3. Step 3: Cross multiply
    3,569.49x = 5,354.64 × 1,488.38
  4. Step 4: Simplify right side
    3,569.49x = 7,969,712.31
  5. Step 5: Solve for x
    x = 7,969,712.31/3,569.49
  6. Step 6: Final answer
    x = 2,232.73

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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.