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Finding the Fourth Proportional to 3,490.88, 5,215.21 and 2,248.16

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Solution

The fourth proportional to 3,490.88, 5,215.21 and 2,248.16 is: 3,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.88 : 5,215.21 = 2,248.16 : x
  2. Step 2: Convert to fraction form
    3,490.88/5,215.21 = 2,248.16/x
  3. Step 3: Cross multiply
    3,490.88x = 5,215.21 × 2,248.16
  4. Step 4: Simplify right side
    3,490.88x = 11,724,626.51
  5. Step 5: Solve for x
    x = 11,724,626.51/3,490.88
  6. Step 6: Final answer
    x = 3,358.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.