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Finding the Fourth Proportional to 3,886.67, 5,830.00 and 964.97

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Solution

The fourth proportional to 3,886.67, 5,830.00 and 964.97 is: 1,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.67 : 5,830.00 = 964.97 : x
  2. Step 2: Convert to fraction form
    3,886.67/5,830.00 = 964.97/x
  3. Step 3: Cross multiply
    3,886.67x = 5,830.00 × 964.97
  4. Step 4: Simplify right side
    3,886.67x = 5,625,803.45
  5. Step 5: Solve for x
    x = 5,625,803.45/3,886.67
  6. Step 6: Final answer
    x = 1,447.46

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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.