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Finding the Fourth Proportional to 4,707.92, 7,061.63 and 1,933.89

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Solution

The fourth proportional to 4,707.92, 7,061.63 and 1,933.89 is: 2,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.92 : 7,061.63 = 1,933.89 : x
  2. Step 2: Convert to fraction form
    4,707.92/7,061.63 = 1,933.89/x
  3. Step 3: Cross multiply
    4,707.92x = 7,061.63 × 1,933.89
  4. Step 4: Simplify right side
    4,707.92x = 13,656,405.97
  5. Step 5: Solve for x
    x = 13,656,405.97/4,707.92
  6. Step 6: Final answer
    x = 2,900.73

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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.