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Finding the Fourth Proportional to 4,690.71, 6,470.37 and 3,097.38

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Solution

The fourth proportional to 4,690.71, 6,470.37 and 3,097.38 is: 4,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.71 : 6,470.37 = 3,097.38 : x
  2. Step 2: Convert to fraction form
    4,690.71/6,470.37 = 3,097.38/x
  3. Step 3: Cross multiply
    4,690.71x = 6,470.37 × 3,097.38
  4. Step 4: Simplify right side
    4,690.71x = 20,041,194.63
  5. Step 5: Solve for x
    x = 20,041,194.63/4,690.71
  6. Step 6: Final answer
    x = 4,272.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.