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Finding the Fourth Proportional to 5,606.42, 7,737.22 and 3,714.76

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Solution

The fourth proportional to 5,606.42, 7,737.22 and 3,714.76 is: 5,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.42 : 7,737.22 = 3,714.76 : x
  2. Step 2: Convert to fraction form
    5,606.42/7,737.22 = 3,714.76/x
  3. Step 3: Cross multiply
    5,606.42x = 7,737.22 × 3,714.76
  4. Step 4: Simplify right side
    5,606.42x = 28,741,929.68
  5. Step 5: Solve for x
    x = 28,741,929.68/5,606.42
  6. Step 6: Final answer
    x = 5,126.61

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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.