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Finding the Fourth Proportional to 4,862.90, 6,710.69 and 2,974.50

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Solution

The fourth proportional to 4,862.90, 6,710.69 and 2,974.50 is: 4,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.90 : 6,710.69 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    4,862.90/6,710.69 = 2,974.50/x
  3. Step 3: Cross multiply
    4,862.90x = 6,710.69 × 2,974.50
  4. Step 4: Simplify right side
    4,862.90x = 19,960,947.41
  5. Step 5: Solve for x
    x = 19,960,947.41/4,862.90
  6. Step 6: Final answer
    x = 4,104.74

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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.