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Finding the Fourth Proportional to 3,886.95, 5,822.75 and 2,322.57

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Solution

The fourth proportional to 3,886.95, 5,822.75 and 2,322.57 is: 3,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.95 : 5,822.75 = 2,322.57 : x
  2. Step 2: Convert to fraction form
    3,886.95/5,822.75 = 2,322.57/x
  3. Step 3: Cross multiply
    3,886.95x = 5,822.75 × 2,322.57
  4. Step 4: Simplify right side
    3,886.95x = 13,523,772.11
  5. Step 5: Solve for x
    x = 13,523,772.11/3,886.95
  6. Step 6: Final answer
    x = 3,479.27

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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.