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Finding the Fourth Proportional to 3,733.74, 5,152.95 and 2,800.62

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Solution

The fourth proportional to 3,733.74, 5,152.95 and 2,800.62 is: 3,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.74 : 5,152.95 = 2,800.62 : x
  2. Step 2: Convert to fraction form
    3,733.74/5,152.95 = 2,800.62/x
  3. Step 3: Cross multiply
    3,733.74x = 5,152.95 × 2,800.62
  4. Step 4: Simplify right side
    3,733.74x = 14,431,454.83
  5. Step 5: Solve for x
    x = 14,431,454.83/3,733.74
  6. Step 6: Final answer
    x = 3,865.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.