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Finding the Fourth Proportional to 3,986.34, 5,500.41 and 2,307.81

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Solution

The fourth proportional to 3,986.34, 5,500.41 and 2,307.81 is: 3,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.34 : 5,500.41 = 2,307.81 : x
  2. Step 2: Convert to fraction form
    3,986.34/5,500.41 = 2,307.81/x
  3. Step 3: Cross multiply
    3,986.34x = 5,500.41 × 2,307.81
  4. Step 4: Simplify right side
    3,986.34x = 12,693,901.20
  5. Step 5: Solve for x
    x = 12,693,901.20/3,986.34
  6. Step 6: Final answer
    x = 3,184.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.