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Finding the Fourth Proportional to 3,586.76, 5,377.62 and 1,246.22

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Solution

The fourth proportional to 3,586.76, 5,377.62 and 1,246.22 is: 1,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.76 : 5,377.62 = 1,246.22 : x
  2. Step 2: Convert to fraction form
    3,586.76/5,377.62 = 1,246.22/x
  3. Step 3: Cross multiply
    3,586.76x = 5,377.62 × 1,246.22
  4. Step 4: Simplify right side
    3,586.76x = 6,701,697.60
  5. Step 5: Solve for x
    x = 6,701,697.60/3,586.76
  6. Step 6: Final answer
    x = 1,868.45

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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.