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Finding the Fourth Proportional to 4,616.48, 6,370.80 and 2,520.64

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Solution

The fourth proportional to 4,616.48, 6,370.80 and 2,520.64 is: 3,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.48 : 6,370.80 = 2,520.64 : x
  2. Step 2: Convert to fraction form
    4,616.48/6,370.80 = 2,520.64/x
  3. Step 3: Cross multiply
    4,616.48x = 6,370.80 × 2,520.64
  4. Step 4: Simplify right side
    4,616.48x = 16,058,493.31
  5. Step 5: Solve for x
    x = 16,058,493.31/4,616.48
  6. Step 6: Final answer
    x = 3,478.51

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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.