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Finding the Fourth Proportional to 4,909.76, 7,366.56 and 1,832

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Solution

The fourth proportional to 4,909.76, 7,366.56 and 1,832 is: 2,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.76 : 7,366.56 = 1,832 : x
  2. Step 2: Convert to fraction form
    4,909.76/7,366.56 = 1,832/x
  3. Step 3: Cross multiply
    4,909.76x = 7,366.56 × 1,832
  4. Step 4: Simplify right side
    4,909.76x = 13,495,537.92
  5. Step 5: Solve for x
    x = 13,495,537.92/4,909.76
  6. Step 6: Final answer
    x = 2,748.72

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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.