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Finding the Fourth Proportional to 6,077.22, 8,386.84 and 3,424.74

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Solution

The fourth proportional to 6,077.22, 8,386.84 and 3,424.74 is: 4,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.22 : 8,386.84 = 3,424.74 : x
  2. Step 2: Convert to fraction form
    6,077.22/8,386.84 = 3,424.74/x
  3. Step 3: Cross multiply
    6,077.22x = 8,386.84 × 3,424.74
  4. Step 4: Simplify right side
    6,077.22x = 28,722,746.42
  5. Step 5: Solve for x
    x = 28,722,746.42/6,077.22
  6. Step 6: Final answer
    x = 4,726.30

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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.