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Finding the Fourth Proportional to 5,678.40, 8,528.16 and 3,384

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Solution

The fourth proportional to 5,678.40, 8,528.16 and 3,384 is: 5,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.40 : 8,528.16 = 3,384 : x
  2. Step 2: Convert to fraction form
    5,678.40/8,528.16 = 3,384/x
  3. Step 3: Cross multiply
    5,678.40x = 8,528.16 × 3,384
  4. Step 4: Simplify right side
    5,678.40x = 28,859,293.44
  5. Step 5: Solve for x
    x = 28,859,293.44/5,678.40
  6. Step 6: Final answer
    x = 5,082.29

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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.