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Finding the Fourth Proportional to 3,826.56, 5,280.00 and 2,407.78

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Solution

The fourth proportional to 3,826.56, 5,280.00 and 2,407.78 is: 3,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.56 : 5,280.00 = 2,407.78 : x
  2. Step 2: Convert to fraction form
    3,826.56/5,280.00 = 2,407.78/x
  3. Step 3: Cross multiply
    3,826.56x = 5,280.00 × 2,407.78
  4. Step 4: Simplify right side
    3,826.56x = 12,713,059.81
  5. Step 5: Solve for x
    x = 12,713,059.81/3,826.56
  6. Step 6: Final answer
    x = 3,322.32

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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.