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Finding the Fourth Proportional to 4,288.16, 5,930.88 and 4,069.64

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Solution

The fourth proportional to 4,288.16, 5,930.88 and 4,069.64 is: 5,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.16 : 5,930.88 = 4,069.64 : x
  2. Step 2: Convert to fraction form
    4,288.16/5,930.88 = 4,069.64/x
  3. Step 3: Cross multiply
    4,288.16x = 5,930.88 × 4,069.64
  4. Step 4: Simplify right side
    4,288.16x = 24,136,546.48
  5. Step 5: Solve for x
    x = 24,136,546.48/4,288.16
  6. Step 6: Final answer
    x = 5,628.65

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