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Finding the Fourth Proportional to 5,313.42, 7,332.39 and 3,074.99

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Solution

The fourth proportional to 5,313.42, 7,332.39 and 3,074.99 is: 4,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.42 : 7,332.39 = 3,074.99 : x
  2. Step 2: Convert to fraction form
    5,313.42/7,332.39 = 3,074.99/x
  3. Step 3: Cross multiply
    5,313.42x = 7,332.39 × 3,074.99
  4. Step 4: Simplify right side
    5,313.42x = 22,546,989.26
  5. Step 5: Solve for x
    x = 22,546,989.26/5,313.42
  6. Step 6: Final answer
    x = 4,243.40

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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.