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Finding the Fourth Proportional to 3,586.95, 5,374.74 and 2,767.23

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Solution

The fourth proportional to 3,586.95, 5,374.74 and 2,767.23 is: 4,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.95 : 5,374.74 = 2,767.23 : x
  2. Step 2: Convert to fraction form
    3,586.95/5,374.74 = 2,767.23/x
  3. Step 3: Cross multiply
    3,586.95x = 5,374.74 × 2,767.23
  4. Step 4: Simplify right side
    3,586.95x = 14,873,141.77
  5. Step 5: Solve for x
    x = 14,873,141.77/3,586.95
  6. Step 6: Final answer
    x = 4,146.46

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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.