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Finding the Fourth Proportional to 6,119.08, 8,443.62 and 3,466

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Solution

The fourth proportional to 6,119.08, 8,443.62 and 3,466 is: 4,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.08 : 8,443.62 = 3,466 : x
  2. Step 2: Convert to fraction form
    6,119.08/8,443.62 = 3,466/x
  3. Step 3: Cross multiply
    6,119.08x = 8,443.62 × 3,466
  4. Step 4: Simplify right side
    6,119.08x = 29,265,586.92
  5. Step 5: Solve for x
    x = 29,265,586.92/6,119.08
  6. Step 6: Final answer
    x = 4,782.68

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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.