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Finding the Fourth Proportional to 3,886.19, 5,830.73 and 2,327.29

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Solution

The fourth proportional to 3,886.19, 5,830.73 and 2,327.29 is: 3,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.19 : 5,830.73 = 2,327.29 : x
  2. Step 2: Convert to fraction form
    3,886.19/5,830.73 = 2,327.29/x
  3. Step 3: Cross multiply
    3,886.19x = 5,830.73 × 2,327.29
  4. Step 4: Simplify right side
    3,886.19x = 13,569,790.86
  5. Step 5: Solve for x
    x = 13,569,790.86/3,886.19
  6. Step 6: Final answer
    x = 3,491.80

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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.