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Finding the Fourth Proportional to 3,680.46, 5,522.10 and 1,215.22

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Solution

The fourth proportional to 3,680.46, 5,522.10 and 1,215.22 is: 1,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.46 : 5,522.10 = 1,215.22 : x
  2. Step 2: Convert to fraction form
    3,680.46/5,522.10 = 1,215.22/x
  3. Step 3: Cross multiply
    3,680.46x = 5,522.10 × 1,215.22
  4. Step 4: Simplify right side
    3,680.46x = 6,710,566.36
  5. Step 5: Solve for x
    x = 6,710,566.36/3,680.46
  6. Step 6: Final answer
    x = 1,823.30

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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.