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Finding the Fourth Proportional to 4,859.75, 7,292.84 and 2,670

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Solution

The fourth proportional to 4,859.75, 7,292.84 and 2,670 is: 4,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.75 : 7,292.84 = 2,670 : x
  2. Step 2: Convert to fraction form
    4,859.75/7,292.84 = 2,670/x
  3. Step 3: Cross multiply
    4,859.75x = 7,292.84 × 2,670
  4. Step 4: Simplify right side
    4,859.75x = 19,471,869.45
  5. Step 5: Solve for x
    x = 19,471,869.45/4,859.75
  6. Step 6: Final answer
    x = 4,006.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.