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Finding the Fourth Proportional to 3,868.02, 5,340.20 and 3,646.62

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Solution

The fourth proportional to 3,868.02, 5,340.20 and 3,646.62 is: 5,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.02 : 5,340.20 = 3,646.62 : x
  2. Step 2: Convert to fraction form
    3,868.02/5,340.20 = 3,646.62/x
  3. Step 3: Cross multiply
    3,868.02x = 5,340.20 × 3,646.62
  4. Step 4: Simplify right side
    3,868.02x = 19,473,661.89
  5. Step 5: Solve for x
    x = 19,473,661.89/3,868.02
  6. Step 6: Final answer
    x = 5,034.53

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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.