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Finding the Fourth Proportional to 5,264.88, 7,883.40 and 3,182.10

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Solution

The fourth proportional to 5,264.88, 7,883.40 and 3,182.10 is: 4,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.88 : 7,883.40 = 3,182.10 : x
  2. Step 2: Convert to fraction form
    5,264.88/7,883.40 = 3,182.10/x
  3. Step 3: Cross multiply
    5,264.88x = 7,883.40 × 3,182.10
  4. Step 4: Simplify right side
    5,264.88x = 25,085,767.14
  5. Step 5: Solve for x
    x = 25,085,767.14/5,264.88
  6. Step 6: Final answer
    x = 4,764.74

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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.