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Finding the Fourth Proportional to 4,717.72, 7,057.06 and 4,290.04

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Solution

The fourth proportional to 4,717.72, 7,057.06 and 4,290.04 is: 6,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.72 : 7,057.06 = 4,290.04 : x
  2. Step 2: Convert to fraction form
    4,717.72/7,057.06 = 4,290.04/x
  3. Step 3: Cross multiply
    4,717.72x = 7,057.06 × 4,290.04
  4. Step 4: Simplify right side
    4,717.72x = 30,275,069.68
  5. Step 5: Solve for x
    x = 30,275,069.68/4,717.72
  6. Step 6: Final answer
    x = 6,417.31

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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.