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Finding the Fourth Proportional to 3,947.66, 5,915.84 and 2,899.44

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Solution

The fourth proportional to 3,947.66, 5,915.84 and 2,899.44 is: 4,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.66 : 5,915.84 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    3,947.66/5,915.84 = 2,899.44/x
  3. Step 3: Cross multiply
    3,947.66x = 5,915.84 × 2,899.44
  4. Step 4: Simplify right side
    3,947.66x = 17,152,623.13
  5. Step 5: Solve for x
    x = 17,152,623.13/3,947.66
  6. Step 6: Final answer
    x = 4,345.01

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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.