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Finding the Fourth Proportional to 5,233.84, 7,885.68 and 4,734.09

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Solution

The fourth proportional to 5,233.84, 7,885.68 and 4,734.09 is: 7,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.84 : 7,885.68 = 4,734.09 : x
  2. Step 2: Convert to fraction form
    5,233.84/7,885.68 = 4,734.09/x
  3. Step 3: Cross multiply
    5,233.84x = 7,885.68 × 4,734.09
  4. Step 4: Simplify right side
    5,233.84x = 37,331,518.83
  5. Step 5: Solve for x
    x = 37,331,518.83/5,233.84
  6. Step 6: Final answer
    x = 7,132.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.