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Finding the Fourth Proportional to 5,313, 7,913.37 and 5,035.44

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Solution

The fourth proportional to 5,313, 7,913.37 and 5,035.44 is: 7,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 7,913.37 = 5,035.44 : x
  2. Step 2: Convert to fraction form
    5,313/7,913.37 = 5,035.44/x
  3. Step 3: Cross multiply
    5,313x = 7,913.37 × 5,035.44
  4. Step 4: Simplify right side
    5,313x = 39,847,299.83
  5. Step 5: Solve for x
    x = 39,847,299.83/5,313
  6. Step 6: Final answer
    x = 7,499.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.