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Finding the Fourth Proportional to 5,302.48, 7,958.04 and 2,706.16

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Solution

The fourth proportional to 5,302.48, 7,958.04 and 2,706.16 is: 4,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.48 : 7,958.04 = 2,706.16 : x
  2. Step 2: Convert to fraction form
    5,302.48/7,958.04 = 2,706.16/x
  3. Step 3: Cross multiply
    5,302.48x = 7,958.04 × 2,706.16
  4. Step 4: Simplify right side
    5,302.48x = 21,535,729.53
  5. Step 5: Solve for x
    x = 21,535,729.53/5,302.48
  6. Step 6: Final answer
    x = 4,061.44

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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.