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Finding the Fourth Proportional to 5,302.64, 7,318.68 and 3,065.96

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Solution

The fourth proportional to 5,302.64, 7,318.68 and 3,065.96 is: 4,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.64 : 7,318.68 = 3,065.96 : x
  2. Step 2: Convert to fraction form
    5,302.64/7,318.68 = 3,065.96/x
  3. Step 3: Cross multiply
    5,302.64x = 7,318.68 × 3,065.96
  4. Step 4: Simplify right side
    5,302.64x = 22,438,780.13
  5. Step 5: Solve for x
    x = 22,438,780.13/5,302.64
  6. Step 6: Final answer
    x = 4,231.62

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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.