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Finding the Fourth Proportional to 3,772.16, 5,658.16 and 2,017.76

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Solution

The fourth proportional to 3,772.16, 5,658.16 and 2,017.76 is: 3,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.16 : 5,658.16 = 2,017.76 : x
  2. Step 2: Convert to fraction form
    3,772.16/5,658.16 = 2,017.76/x
  3. Step 3: Cross multiply
    3,772.16x = 5,658.16 × 2,017.76
  4. Step 4: Simplify right side
    3,772.16x = 11,416,808.92
  5. Step 5: Solve for x
    x = 11,416,808.92/3,772.16
  6. Step 6: Final answer
    x = 3,026.60

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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.