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Finding the Fourth Proportional to 3,454.64, 5,158.56 and 3,007.52

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Solution

The fourth proportional to 3,454.64, 5,158.56 and 3,007.52 is: 4,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.64 : 5,158.56 = 3,007.52 : x
  2. Step 2: Convert to fraction form
    3,454.64/5,158.56 = 3,007.52/x
  3. Step 3: Cross multiply
    3,454.64x = 5,158.56 × 3,007.52
  4. Step 4: Simplify right side
    3,454.64x = 15,514,472.37
  5. Step 5: Solve for x
    x = 15,514,472.37/3,454.64
  6. Step 6: Final answer
    x = 4,490.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.