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Finding the Fourth Proportional to 4,309.48, 6,464.22 and 3,439.72

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Solution

The fourth proportional to 4,309.48, 6,464.22 and 3,439.72 is: 5,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.48 : 6,464.22 = 3,439.72 : x
  2. Step 2: Convert to fraction form
    4,309.48/6,464.22 = 3,439.72/x
  3. Step 3: Cross multiply
    4,309.48x = 6,464.22 × 3,439.72
  4. Step 4: Simplify right side
    4,309.48x = 22,235,106.82
  5. Step 5: Solve for x
    x = 22,235,106.82/4,309.48
  6. Step 6: Final answer
    x = 5,159.58

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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.