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Finding the Fourth Proportional to 3,714.68, 5,126.11 and 2,223.43

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Solution

The fourth proportional to 3,714.68, 5,126.11 and 2,223.43 is: 3,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.68 : 5,126.11 = 2,223.43 : x
  2. Step 2: Convert to fraction form
    3,714.68/5,126.11 = 2,223.43/x
  3. Step 3: Cross multiply
    3,714.68x = 5,126.11 × 2,223.43
  4. Step 4: Simplify right side
    3,714.68x = 11,397,528.38
  5. Step 5: Solve for x
    x = 11,397,528.38/3,714.68
  6. Step 6: Final answer
    x = 3,068.24

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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.