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Finding the Fourth Proportional to 4,047.41, 5,585.24 and 2,254.99

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Solution

The fourth proportional to 4,047.41, 5,585.24 and 2,254.99 is: 3,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.41 : 5,585.24 = 2,254.99 : x
  2. Step 2: Convert to fraction form
    4,047.41/5,585.24 = 2,254.99/x
  3. Step 3: Cross multiply
    4,047.41x = 5,585.24 × 2,254.99
  4. Step 4: Simplify right side
    4,047.41x = 12,594,632.42
  5. Step 5: Solve for x
    x = 12,594,632.42/4,047.41
  6. Step 6: Final answer
    x = 3,111.78

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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.