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Finding the Fourth Proportional to 6,159.64, 9,244.70 and 2,464.48

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Solution

The fourth proportional to 6,159.64, 9,244.70 and 2,464.48 is: 3,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.64 : 9,244.70 = 2,464.48 : x
  2. Step 2: Convert to fraction form
    6,159.64/9,244.70 = 2,464.48/x
  3. Step 3: Cross multiply
    6,159.64x = 9,244.70 × 2,464.48
  4. Step 4: Simplify right side
    6,159.64x = 22,783,378.26
  5. Step 5: Solve for x
    x = 22,783,378.26/6,159.64
  6. Step 6: Final answer
    x = 3,698.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.