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Finding the Fourth Proportional to 3,935.69, 5,903.57 and 1,013.91

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Solution

The fourth proportional to 3,935.69, 5,903.57 and 1,013.91 is: 1,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.69 : 5,903.57 = 1,013.91 : x
  2. Step 2: Convert to fraction form
    3,935.69/5,903.57 = 1,013.91/x
  3. Step 3: Cross multiply
    3,935.69x = 5,903.57 × 1,013.91
  4. Step 4: Simplify right side
    3,935.69x = 5,985,688.66
  5. Step 5: Solve for x
    x = 5,985,688.66/3,935.69
  6. Step 6: Final answer
    x = 1,520.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.