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Finding the Fourth Proportional to 3,396.74, 4,688.16 and 2,215.76

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Solution

The fourth proportional to 3,396.74, 4,688.16 and 2,215.76 is: 3,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.74 : 4,688.16 = 2,215.76 : x
  2. Step 2: Convert to fraction form
    3,396.74/4,688.16 = 2,215.76/x
  3. Step 3: Cross multiply
    3,396.74x = 4,688.16 × 2,215.76
  4. Step 4: Simplify right side
    3,396.74x = 10,387,837.40
  5. Step 5: Solve for x
    x = 10,387,837.40/3,396.74
  6. Step 6: Final answer
    x = 3,058.18

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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.