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Finding the Fourth Proportional to 5,460.66, 8,197.92 and 4,547.39

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Solution

The fourth proportional to 5,460.66, 8,197.92 and 4,547.39 is: 6,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.66 : 8,197.92 = 4,547.39 : x
  2. Step 2: Convert to fraction form
    5,460.66/8,197.92 = 4,547.39/x
  3. Step 3: Cross multiply
    5,460.66x = 8,197.92 × 4,547.39
  4. Step 4: Simplify right side
    5,460.66x = 37,279,098.44
  5. Step 5: Solve for x
    x = 37,279,098.44/5,460.66
  6. Step 6: Final answer
    x = 6,826.85

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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.