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Finding the Fourth Proportional to 5,299.60, 7,318.80 and 4,406.56

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Solution

The fourth proportional to 5,299.60, 7,318.80 and 4,406.56 is: 6,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.60 : 7,318.80 = 4,406.56 : x
  2. Step 2: Convert to fraction form
    5,299.60/7,318.80 = 4,406.56/x
  3. Step 3: Cross multiply
    5,299.60x = 7,318.80 × 4,406.56
  4. Step 4: Simplify right side
    5,299.60x = 32,250,731.33
  5. Step 5: Solve for x
    x = 32,250,731.33/5,299.60
  6. Step 6: Final answer
    x = 6,085.50

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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.