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Finding the Fourth Proportional to 5,643.78, 8,467.01 and 2,355.04

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Solution

The fourth proportional to 5,643.78, 8,467.01 and 2,355.04 is: 3,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.78 : 8,467.01 = 2,355.04 : x
  2. Step 2: Convert to fraction form
    5,643.78/8,467.01 = 2,355.04/x
  3. Step 3: Cross multiply
    5,643.78x = 8,467.01 × 2,355.04
  4. Step 4: Simplify right side
    5,643.78x = 19,940,147.23
  5. Step 5: Solve for x
    x = 19,940,147.23/5,643.78
  6. Step 6: Final answer
    x = 3,533.12

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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.