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Finding the Fourth Proportional to 4,558.92, 6,836.16 and 1,439.16

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Solution

The fourth proportional to 4,558.92, 6,836.16 and 1,439.16 is: 2,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.92 : 6,836.16 = 1,439.16 : x
  2. Step 2: Convert to fraction form
    4,558.92/6,836.16 = 1,439.16/x
  3. Step 3: Cross multiply
    4,558.92x = 6,836.16 × 1,439.16
  4. Step 4: Simplify right side
    4,558.92x = 9,838,328.03
  5. Step 5: Solve for x
    x = 9,838,328.03/4,558.92
  6. Step 6: Final answer
    x = 2,158.04

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Why These Related Problems?

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