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Finding the Fourth Proportional to 4,868.48, 6,719.12 and 3,191.30

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Solution

The fourth proportional to 4,868.48, 6,719.12 and 3,191.30 is: 4,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.48 : 6,719.12 = 3,191.30 : x
  2. Step 2: Convert to fraction form
    4,868.48/6,719.12 = 3,191.30/x
  3. Step 3: Cross multiply
    4,868.48x = 6,719.12 × 3,191.30
  4. Step 4: Simplify right side
    4,868.48x = 21,442,678.10
  5. Step 5: Solve for x
    x = 21,442,678.10/4,868.48
  6. Step 6: Final answer
    x = 4,404.39

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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.