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Finding the Fourth Proportional to 3,189.97, 4,761.54 and 2,955.13

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Solution

The fourth proportional to 3,189.97, 4,761.54 and 2,955.13 is: 4,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.97 : 4,761.54 = 2,955.13 : x
  2. Step 2: Convert to fraction form
    3,189.97/4,761.54 = 2,955.13/x
  3. Step 3: Cross multiply
    3,189.97x = 4,761.54 × 2,955.13
  4. Step 4: Simplify right side
    3,189.97x = 14,070,954.92
  5. Step 5: Solve for x
    x = 14,070,954.92/3,189.97
  6. Step 6: Final answer
    x = 4,411.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.