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Finding the Fourth Proportional to 3,648.62, 5,035.61 and 2,055.40

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Solution

The fourth proportional to 3,648.62, 5,035.61 and 2,055.40 is: 2,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.62 : 5,035.61 = 2,055.40 : x
  2. Step 2: Convert to fraction form
    3,648.62/5,035.61 = 2,055.40/x
  3. Step 3: Cross multiply
    3,648.62x = 5,035.61 × 2,055.40
  4. Step 4: Simplify right side
    3,648.62x = 10,350,185.34
  5. Step 5: Solve for x
    x = 10,350,185.34/3,648.62
  6. Step 6: Final answer
    x = 2,836.74

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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.