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Finding the Fourth Proportional to 3,527.92, 4,866.30 and 2,266.81

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Solution

The fourth proportional to 3,527.92, 4,866.30 and 2,266.81 is: 3,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.92 : 4,866.30 = 2,266.81 : x
  2. Step 2: Convert to fraction form
    3,527.92/4,866.30 = 2,266.81/x
  3. Step 3: Cross multiply
    3,527.92x = 4,866.30 × 2,266.81
  4. Step 4: Simplify right side
    3,527.92x = 11,030,985.40
  5. Step 5: Solve for x
    x = 11,030,985.40/3,527.92
  6. Step 6: Final answer
    x = 3,126.76

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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.