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Finding the Fourth Proportional to 3,714.32, 5,546.02 and 3,579.92

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Solution

The fourth proportional to 3,714.32, 5,546.02 and 3,579.92 is: 5,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.32 : 5,546.02 = 3,579.92 : x
  2. Step 2: Convert to fraction form
    3,714.32/5,546.02 = 3,579.92/x
  3. Step 3: Cross multiply
    3,714.32x = 5,546.02 × 3,579.92
  4. Step 4: Simplify right side
    3,714.32x = 19,854,307.92
  5. Step 5: Solve for x
    x = 19,854,307.92/3,714.32
  6. Step 6: Final answer
    x = 5,345.34

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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.