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Finding the Fourth Proportional to 5,306.48, 7,953.48 and 2,184.56

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Solution

The fourth proportional to 5,306.48, 7,953.48 and 2,184.56 is: 3,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.48 : 7,953.48 = 2,184.56 : x
  2. Step 2: Convert to fraction form
    5,306.48/7,953.48 = 2,184.56/x
  3. Step 3: Cross multiply
    5,306.48x = 7,953.48 × 2,184.56
  4. Step 4: Simplify right side
    5,306.48x = 17,374,854.27
  5. Step 5: Solve for x
    x = 17,374,854.27/5,306.48
  6. Step 6: Final answer
    x = 3,274.27

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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.