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Finding the Fourth Proportional to 5,646, 8,468.88 and 1,898.04

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Solution

The fourth proportional to 5,646, 8,468.88 and 1,898.04 is: 2,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 8,468.88 = 1,898.04 : x
  2. Step 2: Convert to fraction form
    5,646/8,468.88 = 1,898.04/x
  3. Step 3: Cross multiply
    5,646x = 8,468.88 × 1,898.04
  4. Step 4: Simplify right side
    5,646x = 16,074,273.00
  5. Step 5: Solve for x
    x = 16,074,273.00/5,646
  6. Step 6: Final answer
    x = 2,847.02

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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.