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Finding the Fourth Proportional to 5,443.47, 8,165.17 and 1,547.88

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Solution

The fourth proportional to 5,443.47, 8,165.17 and 1,547.88 is: 2,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.47 : 8,165.17 = 1,547.88 : x
  2. Step 2: Convert to fraction form
    5,443.47/8,165.17 = 1,547.88/x
  3. Step 3: Cross multiply
    5,443.47x = 8,165.17 × 1,547.88
  4. Step 4: Simplify right side
    5,443.47x = 12,638,674.66
  5. Step 5: Solve for x
    x = 12,638,674.66/5,443.47
  6. Step 6: Final answer
    x = 2,321.80

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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.