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Finding the Fourth Proportional to 3,886.32, 5,827.98 and 1,288.56

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Solution

The fourth proportional to 3,886.32, 5,827.98 and 1,288.56 is: 1,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.32 : 5,827.98 = 1,288.56 : x
  2. Step 2: Convert to fraction form
    3,886.32/5,827.98 = 1,288.56/x
  3. Step 3: Cross multiply
    3,886.32x = 5,827.98 × 1,288.56
  4. Step 4: Simplify right side
    3,886.32x = 7,509,701.91
  5. Step 5: Solve for x
    x = 7,509,701.91/3,886.32
  6. Step 6: Final answer
    x = 1,932.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.