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Finding the Fourth Proportional to 4,767.75, 7,149.02 and 1,646.01

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Solution

The fourth proportional to 4,767.75, 7,149.02 and 1,646.01 is: 2,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.75 : 7,149.02 = 1,646.01 : x
  2. Step 2: Convert to fraction form
    4,767.75/7,149.02 = 1,646.01/x
  3. Step 3: Cross multiply
    4,767.75x = 7,149.02 × 1,646.01
  4. Step 4: Simplify right side
    4,767.75x = 11,767,350.18
  5. Step 5: Solve for x
    x = 11,767,350.18/4,767.75
  6. Step 6: Final answer
    x = 2,468.11

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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.