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Finding the Fourth Proportional to 4,488.64, 6,739.24 and 2,298.88

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Solution

The fourth proportional to 4,488.64, 6,739.24 and 2,298.88 is: 3,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.64 : 6,739.24 = 2,298.88 : x
  2. Step 2: Convert to fraction form
    4,488.64/6,739.24 = 2,298.88/x
  3. Step 3: Cross multiply
    4,488.64x = 6,739.24 × 2,298.88
  4. Step 4: Simplify right side
    4,488.64x = 15,492,704.05
  5. Step 5: Solve for x
    x = 15,492,704.05/4,488.64
  6. Step 6: Final answer
    x = 3,451.54

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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.