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Finding the Fourth Proportional to 3,886.95, 5,826.91 and 1,548.34

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Solution

The fourth proportional to 3,886.95, 5,826.91 and 1,548.34 is: 2,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.95 : 5,826.91 = 1,548.34 : x
  2. Step 2: Convert to fraction form
    3,886.95/5,826.91 = 1,548.34/x
  3. Step 3: Cross multiply
    3,886.95x = 5,826.91 × 1,548.34
  4. Step 4: Simplify right side
    3,886.95x = 9,022,030.09
  5. Step 5: Solve for x
    x = 9,022,030.09/3,886.95
  6. Step 6: Final answer
    x = 2,321.11

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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.