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Finding the Fourth Proportional to 4,706.07, 7,062.72 and 2,242.65

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Solution

The fourth proportional to 4,706.07, 7,062.72 and 2,242.65 is: 3,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.07 : 7,062.72 = 2,242.65 : x
  2. Step 2: Convert to fraction form
    4,706.07/7,062.72 = 2,242.65/x
  3. Step 3: Cross multiply
    4,706.07x = 7,062.72 × 2,242.65
  4. Step 4: Simplify right side
    4,706.07x = 15,839,209.01
  5. Step 5: Solve for x
    x = 15,839,209.01/4,706.07
  6. Step 6: Final answer
    x = 3,365.70

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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.