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Finding the Fourth Proportional to 4,750.46, 7,125.69 and 3,013.82

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Solution

The fourth proportional to 4,750.46, 7,125.69 and 3,013.82 is: 4,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.46 : 7,125.69 = 3,013.82 : x
  2. Step 2: Convert to fraction form
    4,750.46/7,125.69 = 3,013.82/x
  3. Step 3: Cross multiply
    4,750.46x = 7,125.69 × 3,013.82
  4. Step 4: Simplify right side
    4,750.46x = 21,475,547.04
  5. Step 5: Solve for x
    x = 21,475,547.04/4,750.46
  6. Step 6: Final answer
    x = 4,520.73

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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.