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Finding the Fourth Proportional to 3,648.47, 5,034.42 and 2,055.15

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Solution

The fourth proportional to 3,648.47, 5,034.42 and 2,055.15 is: 2,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.47 : 5,034.42 = 2,055.15 : x
  2. Step 2: Convert to fraction form
    3,648.47/5,034.42 = 2,055.15/x
  3. Step 3: Cross multiply
    3,648.47x = 5,034.42 × 2,055.15
  4. Step 4: Simplify right side
    3,648.47x = 10,346,488.26
  5. Step 5: Solve for x
    x = 10,346,488.26/3,648.47
  6. Step 6: Final answer
    x = 2,835.85

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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.