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Finding the Fourth Proportional to 5,302.84, 7,949.76 and 3,350.68

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Solution

The fourth proportional to 5,302.84, 7,949.76 and 3,350.68 is: 5,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.84 : 7,949.76 = 3,350.68 : x
  2. Step 2: Convert to fraction form
    5,302.84/7,949.76 = 3,350.68/x
  3. Step 3: Cross multiply
    5,302.84x = 7,949.76 × 3,350.68
  4. Step 4: Simplify right side
    5,302.84x = 26,637,101.84
  5. Step 5: Solve for x
    x = 26,637,101.84/5,302.84
  6. Step 6: Final answer
    x = 5,023.18

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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.