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Finding the Fourth Proportional to 4,759.74, 7,141.32 and 1,473.66

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Solution

The fourth proportional to 4,759.74, 7,141.32 and 1,473.66 is: 2,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.74 : 7,141.32 = 1,473.66 : x
  2. Step 2: Convert to fraction form
    4,759.74/7,141.32 = 1,473.66/x
  3. Step 3: Cross multiply
    4,759.74x = 7,141.32 × 1,473.66
  4. Step 4: Simplify right side
    4,759.74x = 10,523,877.63
  5. Step 5: Solve for x
    x = 10,523,877.63/4,759.74
  6. Step 6: Final answer
    x = 2,211.02

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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.