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Finding the Fourth Proportional to 4,707.07, 7,059.46 and 1,586.27

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Solution

The fourth proportional to 4,707.07, 7,059.46 and 1,586.27 is: 2,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.07 : 7,059.46 = 1,586.27 : x
  2. Step 2: Convert to fraction form
    4,707.07/7,059.46 = 1,586.27/x
  3. Step 3: Cross multiply
    4,707.07x = 7,059.46 × 1,586.27
  4. Step 4: Simplify right side
    4,707.07x = 11,198,209.61
  5. Step 5: Solve for x
    x = 11,198,209.61/4,707.07
  6. Step 6: Final answer
    x = 2,379.02

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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.