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Finding the Fourth Proportional to 3,886.49, 5,824.86 and 3,061.50

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Solution

The fourth proportional to 3,886.49, 5,824.86 and 3,061.50 is: 4,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.49 : 5,824.86 = 3,061.50 : x
  2. Step 2: Convert to fraction form
    3,886.49/5,824.86 = 3,061.50/x
  3. Step 3: Cross multiply
    3,886.49x = 5,824.86 × 3,061.50
  4. Step 4: Simplify right side
    3,886.49x = 17,832,819.25
  5. Step 5: Solve for x
    x = 17,832,819.25/3,886.49
  6. Step 6: Final answer
    x = 4,588.41

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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.