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Finding the Fourth Proportional to 5,346.40, 8,000.70 and 4,660.60

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Solution

The fourth proportional to 5,346.40, 8,000.70 and 4,660.60 is: 6,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.40 : 8,000.70 = 4,660.60 : x
  2. Step 2: Convert to fraction form
    5,346.40/8,000.70 = 4,660.60/x
  3. Step 3: Cross multiply
    5,346.40x = 8,000.70 × 4,660.60
  4. Step 4: Simplify right side
    5,346.40x = 37,288,062.42
  5. Step 5: Solve for x
    x = 37,288,062.42/5,346.40
  6. Step 6: Final answer
    x = 6,974.42

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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.