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Finding the Fourth Proportional to 4,868.54, 6,719.16 and 2,744.87

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Solution

The fourth proportional to 4,868.54, 6,719.16 and 2,744.87 is: 3,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.54 : 6,719.16 = 2,744.87 : x
  2. Step 2: Convert to fraction form
    4,868.54/6,719.16 = 2,744.87/x
  3. Step 3: Cross multiply
    4,868.54x = 6,719.16 × 2,744.87
  4. Step 4: Simplify right side
    4,868.54x = 18,443,187.11
  5. Step 5: Solve for x
    x = 18,443,187.11/4,868.54
  6. Step 6: Final answer
    x = 3,788.24

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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.