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Finding the Fourth Proportional to 4,707.24, 7,065.97 and 3,540.57

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Solution

The fourth proportional to 4,707.24, 7,065.97 and 3,540.57 is: 5,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.24 : 7,065.97 = 3,540.57 : x
  2. Step 2: Convert to fraction form
    4,707.24/7,065.97 = 3,540.57/x
  3. Step 3: Cross multiply
    4,707.24x = 7,065.97 × 3,540.57
  4. Step 4: Simplify right side
    4,707.24x = 25,017,552.55
  5. Step 5: Solve for x
    x = 25,017,552.55/4,707.24
  6. Step 6: Final answer
    x = 5,314.70

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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.