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Finding the Fourth Proportional to 4,257.32, 6,383.90 and 1,484.15

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Solution

The fourth proportional to 4,257.32, 6,383.90 and 1,484.15 is: 2,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.32 : 6,383.90 = 1,484.15 : x
  2. Step 2: Convert to fraction form
    4,257.32/6,383.90 = 1,484.15/x
  3. Step 3: Cross multiply
    4,257.32x = 6,383.90 × 1,484.15
  4. Step 4: Simplify right side
    4,257.32x = 9,474,625.84
  5. Step 5: Solve for x
    x = 9,474,625.84/4,257.32
  6. Step 6: Final answer
    x = 2,225.49

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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.