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Finding the Fourth Proportional to 8,985.28, 13,476.88 and 3,438.50

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Solution

The fourth proportional to 8,985.28, 13,476.88 and 3,438.50 is: 5,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.28 : 13,476.88 = 3,438.50 : x
  2. Step 2: Convert to fraction form
    8,985.28/13,476.88 = 3,438.50/x
  3. Step 3: Cross multiply
    8,985.28x = 13,476.88 × 3,438.50
  4. Step 4: Simplify right side
    8,985.28x = 46,340,251.88
  5. Step 5: Solve for x
    x = 46,340,251.88/8,985.28
  6. Step 6: Final answer
    x = 5,157.35

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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.