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Finding the Fourth Proportional to 3,015.71, 4,523.58 and 935.67

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Solution

The fourth proportional to 3,015.71, 4,523.58 and 935.67 is: 1,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.71 : 4,523.58 = 935.67 : x
  2. Step 2: Convert to fraction form
    3,015.71/4,523.58 = 935.67/x
  3. Step 3: Cross multiply
    3,015.71x = 4,523.58 × 935.67
  4. Step 4: Simplify right side
    3,015.71x = 4,232,578.10
  5. Step 5: Solve for x
    x = 4,232,578.10/3,015.71
  6. Step 6: Final answer
    x = 1,403.51

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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.