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Finding the Fourth Proportional to 5,646.02, 8,469.02 and 3,054.02

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Solution

The fourth proportional to 5,646.02, 8,469.02 and 3,054.02 is: 4,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.02 : 8,469.02 = 3,054.02 : x
  2. Step 2: Convert to fraction form
    5,646.02/8,469.02 = 3,054.02/x
  3. Step 3: Cross multiply
    5,646.02x = 8,469.02 × 3,054.02
  4. Step 4: Simplify right side
    5,646.02x = 25,864,521.75
  5. Step 5: Solve for x
    x = 25,864,521.75/5,646.02
  6. Step 6: Final answer
    x = 4,581.02

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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.