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Finding the Fourth Proportional to 5,468.51, 7,547.24 and 3,078.61

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Solution

The fourth proportional to 5,468.51, 7,547.24 and 3,078.61 is: 4,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.51 : 7,547.24 = 3,078.61 : x
  2. Step 2: Convert to fraction form
    5,468.51/7,547.24 = 3,078.61/x
  3. Step 3: Cross multiply
    5,468.51x = 7,547.24 × 3,078.61
  4. Step 4: Simplify right side
    5,468.51x = 23,235,008.54
  5. Step 5: Solve for x
    x = 23,235,008.54/5,468.51
  6. Step 6: Final answer
    x = 4,248.87

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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.