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Finding the Fourth Proportional to 4,862.52, 6,710 and 2,766.50

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Solution

The fourth proportional to 4,862.52, 6,710 and 2,766.50 is: 3,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.52 : 6,710 = 2,766.50 : x
  2. Step 2: Convert to fraction form
    4,862.52/6,710 = 2,766.50/x
  3. Step 3: Cross multiply
    4,862.52x = 6,710 × 2,766.50
  4. Step 4: Simplify right side
    4,862.52x = 18,563,215
  5. Step 5: Solve for x
    x = 18,563,215/4,862.52
  6. Step 6: Final answer
    x = 3,817.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.