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Finding the Fourth Proportional to 3,185.84, 4,776.92 and 3,002.38

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Solution

The fourth proportional to 3,185.84, 4,776.92 and 3,002.38 is: 4,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.84 : 4,776.92 = 3,002.38 : x
  2. Step 2: Convert to fraction form
    3,185.84/4,776.92 = 3,002.38/x
  3. Step 3: Cross multiply
    3,185.84x = 4,776.92 × 3,002.38
  4. Step 4: Simplify right side
    3,185.84x = 14,342,129.07
  5. Step 5: Solve for x
    x = 14,342,129.07/3,185.84
  6. Step 6: Final answer
    x = 4,501.84

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1.5x scale

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.