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Finding the Fourth Proportional to 3,775.16, 5,658.08 and 2,738.72

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Solution

The fourth proportional to 3,775.16, 5,658.08 and 2,738.72 is: 4,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.16 : 5,658.08 = 2,738.72 : x
  2. Step 2: Convert to fraction form
    3,775.16/5,658.08 = 2,738.72/x
  3. Step 3: Cross multiply
    3,775.16x = 5,658.08 × 2,738.72
  4. Step 4: Simplify right side
    3,775.16x = 15,495,896.86
  5. Step 5: Solve for x
    x = 15,495,896.86/3,775.16
  6. Step 6: Final answer
    x = 4,104.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.