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Finding the Fourth Proportional to 4,647.60, 6,974.82 and 2,895.17

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Solution

The fourth proportional to 4,647.60, 6,974.82 and 2,895.17 is: 4,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.60 : 6,974.82 = 2,895.17 : x
  2. Step 2: Convert to fraction form
    4,647.60/6,974.82 = 2,895.17/x
  3. Step 3: Cross multiply
    4,647.60x = 6,974.82 × 2,895.17
  4. Step 4: Simplify right side
    4,647.60x = 20,193,254.75
  5. Step 5: Solve for x
    x = 20,193,254.75/4,647.60
  6. Step 6: Final answer
    x = 4,344.88

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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.