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Finding the Fourth Proportional to 3,165.95, 4,738.50 and 2,470.57

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Solution

The fourth proportional to 3,165.95, 4,738.50 and 2,470.57 is: 3,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.95 : 4,738.50 = 2,470.57 : x
  2. Step 2: Convert to fraction form
    3,165.95/4,738.50 = 2,470.57/x
  3. Step 3: Cross multiply
    3,165.95x = 4,738.50 × 2,470.57
  4. Step 4: Simplify right side
    3,165.95x = 11,706,784.10
  5. Step 5: Solve for x
    x = 11,706,784.10/3,165.95
  6. Step 6: Final answer
    x = 3,697.71

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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.