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Finding the Fourth Proportional to 8,980.74, 13,472.04 and 3,438.75

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Solution

The fourth proportional to 8,980.74, 13,472.04 and 3,438.75 is: 5,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.74 : 13,472.04 = 3,438.75 : x
  2. Step 2: Convert to fraction form
    8,980.74/13,472.04 = 3,438.75/x
  3. Step 3: Cross multiply
    8,980.74x = 13,472.04 × 3,438.75
  4. Step 4: Simplify right side
    8,980.74x = 46,326,977.55
  5. Step 5: Solve for x
    x = 46,326,977.55/8,980.74
  6. Step 6: Final answer
    x = 5,158.48

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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.