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Finding the Fourth Proportional to 3,880.61, 5,356.25 and 2,464.98

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Solution

The fourth proportional to 3,880.61, 5,356.25 and 2,464.98 is: 3,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.61 : 5,356.25 = 2,464.98 : x
  2. Step 2: Convert to fraction form
    3,880.61/5,356.25 = 2,464.98/x
  3. Step 3: Cross multiply
    3,880.61x = 5,356.25 × 2,464.98
  4. Step 4: Simplify right side
    3,880.61x = 13,203,025.96
  5. Step 5: Solve for x
    x = 13,203,025.96/3,880.61
  6. Step 6: Final answer
    x = 3,402.31

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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.