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Finding the Fourth Proportional to 5,347.14, 8,023.13 and 2,751.90

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Solution

The fourth proportional to 5,347.14, 8,023.13 and 2,751.90 is: 4,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.14 : 8,023.13 = 2,751.90 : x
  2. Step 2: Convert to fraction form
    5,347.14/8,023.13 = 2,751.90/x
  3. Step 3: Cross multiply
    5,347.14x = 8,023.13 × 2,751.90
  4. Step 4: Simplify right side
    5,347.14x = 22,078,851.45
  5. Step 5: Solve for x
    x = 22,078,851.45/5,347.14
  6. Step 6: Final answer
    x = 4,129.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.