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Finding the Fourth Proportional to 4,297.07, 6,449.76 and 2,077.47

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Solution

The fourth proportional to 4,297.07, 6,449.76 and 2,077.47 is: 3,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.07 : 6,449.76 = 2,077.47 : x
  2. Step 2: Convert to fraction form
    4,297.07/6,449.76 = 2,077.47/x
  3. Step 3: Cross multiply
    4,297.07x = 6,449.76 × 2,077.47
  4. Step 4: Simplify right side
    4,297.07x = 13,399,182.91
  5. Step 5: Solve for x
    x = 13,399,182.91/4,297.07
  6. Step 6: Final answer
    x = 3,118.22

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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.