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Finding the Fourth Proportional to 3,510.41, 5,264.40 and 1,952.78

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Solution

The fourth proportional to 3,510.41, 5,264.40 and 1,952.78 is: 2,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.41 : 5,264.40 = 1,952.78 : x
  2. Step 2: Convert to fraction form
    3,510.41/5,264.40 = 1,952.78/x
  3. Step 3: Cross multiply
    3,510.41x = 5,264.40 × 1,952.78
  4. Step 4: Simplify right side
    3,510.41x = 10,280,215.03
  5. Step 5: Solve for x
    x = 10,280,215.03/3,510.41
  6. Step 6: Final answer
    x = 2,928.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.