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Finding the Fourth Proportional to 4,714.26, 6,500.61 and 2,945.22

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Solution

The fourth proportional to 4,714.26, 6,500.61 and 2,945.22 is: 4,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.26 : 6,500.61 = 2,945.22 : x
  2. Step 2: Convert to fraction form
    4,714.26/6,500.61 = 2,945.22/x
  3. Step 3: Cross multiply
    4,714.26x = 6,500.61 × 2,945.22
  4. Step 4: Simplify right side
    4,714.26x = 19,145,726.58
  5. Step 5: Solve for x
    x = 19,145,726.58/4,714.26
  6. Step 6: Final answer
    x = 4,061.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.