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Finding the Fourth Proportional to 5,301.84, 7,954.06 and 3,744.89

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Solution

The fourth proportional to 5,301.84, 7,954.06 and 3,744.89 is: 5,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.84 : 7,954.06 = 3,744.89 : x
  2. Step 2: Convert to fraction form
    5,301.84/7,954.06 = 3,744.89/x
  3. Step 3: Cross multiply
    5,301.84x = 7,954.06 × 3,744.89
  4. Step 4: Simplify right side
    5,301.84x = 29,787,079.75
  5. Step 5: Solve for x
    x = 29,787,079.75/5,301.84
  6. Step 6: Final answer
    x = 5,618.25

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1.5x scale

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.