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Finding the Fourth Proportional to 5,309.84, 7,948.32 and 4,522.52

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Solution

The fourth proportional to 5,309.84, 7,948.32 and 4,522.52 is: 6,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.84 : 7,948.32 = 4,522.52 : x
  2. Step 2: Convert to fraction form
    5,309.84/7,948.32 = 4,522.52/x
  3. Step 3: Cross multiply
    5,309.84x = 7,948.32 × 4,522.52
  4. Step 4: Simplify right side
    5,309.84x = 35,946,436.17
  5. Step 5: Solve for x
    x = 35,946,436.17/5,309.84
  6. Step 6: Final answer
    x = 6,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.