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Finding the Fourth Proportional to 3,475.14, 5,212.26 and 877.92

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Solution

The fourth proportional to 3,475.14, 5,212.26 and 877.92 is: 1,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.14 : 5,212.26 = 877.92 : x
  2. Step 2: Convert to fraction form
    3,475.14/5,212.26 = 877.92/x
  3. Step 3: Cross multiply
    3,475.14x = 5,212.26 × 877.92
  4. Step 4: Simplify right side
    3,475.14x = 4,575,947.30
  5. Step 5: Solve for x
    x = 4,575,947.30/3,475.14
  6. Step 6: Final answer
    x = 1,316.77

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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.