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Finding the Fourth Proportional to 3,962.57, 5,464.77 and 2,470.63

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Solution

The fourth proportional to 3,962.57, 5,464.77 and 2,470.63 is: 3,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.57 : 5,464.77 = 2,470.63 : x
  2. Step 2: Convert to fraction form
    3,962.57/5,464.77 = 2,470.63/x
  3. Step 3: Cross multiply
    3,962.57x = 5,464.77 × 2,470.63
  4. Step 4: Simplify right side
    3,962.57x = 13,501,396.66
  5. Step 5: Solve for x
    x = 13,501,396.66/3,962.57
  6. Step 6: Final answer
    x = 3,407.23

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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.