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Finding the Fourth Proportional to 4,468.12, 6,165.52 and 2,478.64

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Solution

The fourth proportional to 4,468.12, 6,165.52 and 2,478.64 is: 3,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.12 : 6,165.52 = 2,478.64 : x
  2. Step 2: Convert to fraction form
    4,468.12/6,165.52 = 2,478.64/x
  3. Step 3: Cross multiply
    4,468.12x = 6,165.52 × 2,478.64
  4. Step 4: Simplify right side
    4,468.12x = 15,282,104.49
  5. Step 5: Solve for x
    x = 15,282,104.49/4,468.12
  6. Step 6: Final answer
    x = 3,420.25

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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.