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Finding the Fourth Proportional to 4,291.92, 6,433.02 and 2,958.66

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Solution

The fourth proportional to 4,291.92, 6,433.02 and 2,958.66 is: 4,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.92 : 6,433.02 = 2,958.66 : x
  2. Step 2: Convert to fraction form
    4,291.92/6,433.02 = 2,958.66/x
  3. Step 3: Cross multiply
    4,291.92x = 6,433.02 × 2,958.66
  4. Step 4: Simplify right side
    4,291.92x = 19,033,118.95
  5. Step 5: Solve for x
    x = 19,033,118.95/4,291.92
  6. Step 6: Final answer
    x = 4,434.64

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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.