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Finding the Fourth Proportional to 4,288.70, 5,989.60 and 4,288.70

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Solution

The fourth proportional to 4,288.70, 5,989.60 and 4,288.70 is: 5,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.70 : 5,989.60 = 4,288.70 : x
  2. Step 2: Convert to fraction form
    4,288.70/5,989.60 = 4,288.70/x
  3. Step 3: Cross multiply
    4,288.70x = 5,989.60 × 4,288.70
  4. Step 4: Simplify right side
    4,288.70x = 25,687,597.52
  5. Step 5: Solve for x
    x = 25,687,597.52/4,288.70
  6. Step 6: Final answer
    x = 5,989.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.