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Finding the Fourth Proportional to 5,644, 8,465.88 and 1,896.04

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Solution

The fourth proportional to 5,644, 8,465.88 and 1,896.04 is: 2,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 8,465.88 = 1,896.04 : x
  2. Step 2: Convert to fraction form
    5,644/8,465.88 = 1,896.04/x
  3. Step 3: Cross multiply
    5,644x = 8,465.88 × 1,896.04
  4. Step 4: Simplify right side
    5,644x = 16,051,647.12
  5. Step 5: Solve for x
    x = 16,051,647.12/5,644
  6. Step 6: Final answer
    x = 2,844.02

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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.