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Finding the Fourth Proportional to 5,606.26, 7,737.02 and 3,714.57

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Solution

The fourth proportional to 5,606.26, 7,737.02 and 3,714.57 is: 5,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.26 : 7,737.02 = 3,714.57 : x
  2. Step 2: Convert to fraction form
    5,606.26/7,737.02 = 3,714.57/x
  3. Step 3: Cross multiply
    5,606.26x = 7,737.02 × 3,714.57
  4. Step 4: Simplify right side
    5,606.26x = 28,739,702.38
  5. Step 5: Solve for x
    x = 28,739,702.38/5,606.26
  6. Step 6: Final answer
    x = 5,126.36

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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.