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Finding the Fourth Proportional to 4,866.95, 6,719.43 and 3,862.76

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Solution

The fourth proportional to 4,866.95, 6,719.43 and 3,862.76 is: 5,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.95 : 6,719.43 = 3,862.76 : x
  2. Step 2: Convert to fraction form
    4,866.95/6,719.43 = 3,862.76/x
  3. Step 3: Cross multiply
    4,866.95x = 6,719.43 × 3,862.76
  4. Step 4: Simplify right side
    4,866.95x = 25,955,545.43
  5. Step 5: Solve for x
    x = 25,955,545.43/4,866.95
  6. Step 6: Final answer
    x = 5,333.02

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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.