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Finding the Fourth Proportional to 5,547.41, 7,655.44 and 3,029.54

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Solution

The fourth proportional to 5,547.41, 7,655.44 and 3,029.54 is: 4,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.41 : 7,655.44 = 3,029.54 : x
  2. Step 2: Convert to fraction form
    5,547.41/7,655.44 = 3,029.54/x
  3. Step 3: Cross multiply
    5,547.41x = 7,655.44 × 3,029.54
  4. Step 4: Simplify right side
    5,547.41x = 23,192,473.26
  5. Step 5: Solve for x
    x = 23,192,473.26/5,547.41
  6. Step 6: Final answer
    x = 4,180.78

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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.