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Finding the Fourth Proportional to 3,714.66, 5,125.32 and 2,221.92

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Solution

The fourth proportional to 3,714.66, 5,125.32 and 2,221.92 is: 3,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,125.32 = 2,221.92 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,125.32 = 2,221.92/x
  3. Step 3: Cross multiply
    3,714.66x = 5,125.32 × 2,221.92
  4. Step 4: Simplify right side
    3,714.66x = 11,388,051.01
  5. Step 5: Solve for x
    x = 11,388,051.01/3,714.66
  6. Step 6: Final answer
    x = 3,065.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.