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Finding the Fourth Proportional to 3,660.38, 5,051.88 and 2,774.72

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Solution

The fourth proportional to 3,660.38, 5,051.88 and 2,774.72 is: 3,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.38 : 5,051.88 = 2,774.72 : x
  2. Step 2: Convert to fraction form
    3,660.38/5,051.88 = 2,774.72/x
  3. Step 3: Cross multiply
    3,660.38x = 5,051.88 × 2,774.72
  4. Step 4: Simplify right side
    3,660.38x = 14,017,552.47
  5. Step 5: Solve for x
    x = 14,017,552.47/3,660.38
  6. Step 6: Final answer
    x = 3,829.53

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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.