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Finding the Fourth Proportional to 4,862.50, 6,711.47 and 2,767.84

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Solution

The fourth proportional to 4,862.50, 6,711.47 and 2,767.84 is: 3,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.50 : 6,711.47 = 2,767.84 : x
  2. Step 2: Convert to fraction form
    4,862.50/6,711.47 = 2,767.84/x
  3. Step 3: Cross multiply
    4,862.50x = 6,711.47 × 2,767.84
  4. Step 4: Simplify right side
    4,862.50x = 18,576,261.29
  5. Step 5: Solve for x
    x = 18,576,261.29/4,862.50
  6. Step 6: Final answer
    x = 3,820.31

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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.