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Finding the Fourth Proportional to 3,541.75, 4,884.53 and 2,478.98

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Solution

The fourth proportional to 3,541.75, 4,884.53 and 2,478.98 is: 3,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.75 : 4,884.53 = 2,478.98 : x
  2. Step 2: Convert to fraction form
    3,541.75/4,884.53 = 2,478.98/x
  3. Step 3: Cross multiply
    3,541.75x = 4,884.53 × 2,478.98
  4. Step 4: Simplify right side
    3,541.75x = 12,108,652.18
  5. Step 5: Solve for x
    x = 12,108,652.18/3,541.75
  6. Step 6: Final answer
    x = 3,418.83

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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.