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Finding the Fourth Proportional to 3,648.59, 5,035.03 and 2,055.23

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Solution

The fourth proportional to 3,648.59, 5,035.03 and 2,055.23 is: 2,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.59 : 5,035.03 = 2,055.23 : x
  2. Step 2: Convert to fraction form
    3,648.59/5,035.03 = 2,055.23/x
  3. Step 3: Cross multiply
    3,648.59x = 5,035.03 × 2,055.23
  4. Step 4: Simplify right side
    3,648.59x = 10,348,126.98
  5. Step 5: Solve for x
    x = 10,348,126.98/3,648.59
  6. Step 6: Final answer
    x = 2,836.20

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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.