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Finding the Fourth Proportional to 6,439.68, 8,884.08 and 4,340.16

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Solution

The fourth proportional to 6,439.68, 8,884.08 and 4,340.16 is: 5,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.68 : 8,884.08 = 4,340.16 : x
  2. Step 2: Convert to fraction form
    6,439.68/8,884.08 = 4,340.16/x
  3. Step 3: Cross multiply
    6,439.68x = 8,884.08 × 4,340.16
  4. Step 4: Simplify right side
    6,439.68x = 38,558,328.65
  5. Step 5: Solve for x
    x = 38,558,328.65/6,439.68
  6. Step 6: Final answer
    x = 5,987.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.