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Finding the Fourth Proportional to 6,261.76, 8,641.92 and 3,467.52

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Solution

The fourth proportional to 6,261.76, 8,641.92 and 3,467.52 is: 4,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.76 : 8,641.92 = 3,467.52 : x
  2. Step 2: Convert to fraction form
    6,261.76/8,641.92 = 3,467.52/x
  3. Step 3: Cross multiply
    6,261.76x = 8,641.92 × 3,467.52
  4. Step 4: Simplify right side
    6,261.76x = 29,966,030.44
  5. Step 5: Solve for x
    x = 29,966,030.44/6,261.76
  6. Step 6: Final answer
    x = 4,785.56

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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.