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Finding the Fourth Proportional to 3,534.94, 4,878.12 and 2,001.71

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Solution

The fourth proportional to 3,534.94, 4,878.12 and 2,001.71 is: 2,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.94 : 4,878.12 = 2,001.71 : x
  2. Step 2: Convert to fraction form
    3,534.94/4,878.12 = 2,001.71/x
  3. Step 3: Cross multiply
    3,534.94x = 4,878.12 × 2,001.71
  4. Step 4: Simplify right side
    3,534.94x = 9,764,601.29
  5. Step 5: Solve for x
    x = 9,764,601.29/3,534.94
  6. Step 6: Final answer
    x = 2,762.31

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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.