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Finding the Fourth Proportional to 3,606.56, 5,411.16 and 1,266.74

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Solution

The fourth proportional to 3,606.56, 5,411.16 and 1,266.74 is: 1,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.56 : 5,411.16 = 1,266.74 : x
  2. Step 2: Convert to fraction form
    3,606.56/5,411.16 = 1,266.74/x
  3. Step 3: Cross multiply
    3,606.56x = 5,411.16 × 1,266.74
  4. Step 4: Simplify right side
    3,606.56x = 6,854,532.82
  5. Step 5: Solve for x
    x = 6,854,532.82/3,606.56
  6. Step 6: Final answer
    x = 1,900.57

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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.