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Finding the Fourth Proportional to 4,302.27, 6,458.27 and 1,707.03

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Solution

The fourth proportional to 4,302.27, 6,458.27 and 1,707.03 is: 2,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.27 : 6,458.27 = 1,707.03 : x
  2. Step 2: Convert to fraction form
    4,302.27/6,458.27 = 1,707.03/x
  3. Step 3: Cross multiply
    4,302.27x = 6,458.27 × 1,707.03
  4. Step 4: Simplify right side
    4,302.27x = 11,024,452.10
  5. Step 5: Solve for x
    x = 11,024,452.10/4,302.27
  6. Step 6: Final answer
    x = 2,562.47

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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.