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Finding the Fourth Proportional to 4,567.35, 6,851.51 and 1,447.80

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Solution

The fourth proportional to 4,567.35, 6,851.51 and 1,447.80 is: 2,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.35 : 6,851.51 = 1,447.80 : x
  2. Step 2: Convert to fraction form
    4,567.35/6,851.51 = 1,447.80/x
  3. Step 3: Cross multiply
    4,567.35x = 6,851.51 × 1,447.80
  4. Step 4: Simplify right side
    4,567.35x = 9,919,616.18
  5. Step 5: Solve for x
    x = 9,919,616.18/4,567.35
  6. Step 6: Final answer
    x = 2,171.85

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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.