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Finding the Fourth Proportional to 3,868.02, 5,338.71 and 2,376.72

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Solution

The fourth proportional to 3,868.02, 5,338.71 and 2,376.72 is: 3,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.02 : 5,338.71 = 2,376.72 : x
  2. Step 2: Convert to fraction form
    3,868.02/5,338.71 = 2,376.72/x
  3. Step 3: Cross multiply
    3,868.02x = 5,338.71 × 2,376.72
  4. Step 4: Simplify right side
    3,868.02x = 12,688,618.83
  5. Step 5: Solve for x
    x = 12,688,618.83/3,868.02
  6. Step 6: Final answer
    x = 3,280.39

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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.