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Finding the Fourth Proportional to 3,531.69, 4,874.61 and 2,040.47

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Solution

The fourth proportional to 3,531.69, 4,874.61 and 2,040.47 is: 2,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.69 : 4,874.61 = 2,040.47 : x
  2. Step 2: Convert to fraction form
    3,531.69/4,874.61 = 2,040.47/x
  3. Step 3: Cross multiply
    3,531.69x = 4,874.61 × 2,040.47
  4. Step 4: Simplify right side
    3,531.69x = 9,946,460.89
  5. Step 5: Solve for x
    x = 9,946,460.89/3,531.69
  6. Step 6: Final answer
    x = 2,816.35

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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.