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Finding the Fourth Proportional to 3,572.94, 4,930.76 and 2,001.14

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Solution

The fourth proportional to 3,572.94, 4,930.76 and 2,001.14 is: 2,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.94 : 4,930.76 = 2,001.14 : x
  2. Step 2: Convert to fraction form
    3,572.94/4,930.76 = 2,001.14/x
  3. Step 3: Cross multiply
    3,572.94x = 4,930.76 × 2,001.14
  4. Step 4: Simplify right side
    3,572.94x = 9,867,106.41
  5. Step 5: Solve for x
    x = 9,867,106.41/3,572.94
  6. Step 6: Final answer
    x = 2,761.62

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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.