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Finding the Fourth Proportional to 3,474.12, 5,211.54 and 877.08

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Solution

The fourth proportional to 3,474.12, 5,211.54 and 877.08 is: 1,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.12 : 5,211.54 = 877.08 : x
  2. Step 2: Convert to fraction form
    3,474.12/5,211.54 = 877.08/x
  3. Step 3: Cross multiply
    3,474.12x = 5,211.54 × 877.08
  4. Step 4: Simplify right side
    3,474.12x = 4,570,937.50
  5. Step 5: Solve for x
    x = 4,570,937.50/3,474.12
  6. Step 6: Final answer
    x = 1,315.71

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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.