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Finding the Fourth Proportional to 4,690.71, 7,036.07 and 3,046.41

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Solution

The fourth proportional to 4,690.71, 7,036.07 and 3,046.41 is: 4,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.71 : 7,036.07 = 3,046.41 : x
  2. Step 2: Convert to fraction form
    4,690.71/7,036.07 = 3,046.41/x
  3. Step 3: Cross multiply
    4,690.71x = 7,036.07 × 3,046.41
  4. Step 4: Simplify right side
    4,690.71x = 21,434,738.78
  5. Step 5: Solve for x
    x = 21,434,738.78/4,690.71
  6. Step 6: Final answer
    x = 4,569.62

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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.