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Finding the Fourth Proportional to 3,643.95, 5,467.95 and 2,258.04

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Solution

The fourth proportional to 3,643.95, 5,467.95 and 2,258.04 is: 3,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.95 : 5,467.95 = 2,258.04 : x
  2. Step 2: Convert to fraction form
    3,643.95/5,467.95 = 2,258.04/x
  3. Step 3: Cross multiply
    3,643.95x = 5,467.95 × 2,258.04
  4. Step 4: Simplify right side
    3,643.95x = 12,346,849.82
  5. Step 5: Solve for x
    x = 12,346,849.82/3,643.95
  6. Step 6: Final answer
    x = 3,388.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.