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Finding the Fourth Proportional to 5,393.84, 7,446 and 4,068.08

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Solution

The fourth proportional to 5,393.84, 7,446 and 4,068.08 is: 5,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.84 : 7,446 = 4,068.08 : x
  2. Step 2: Convert to fraction form
    5,393.84/7,446 = 4,068.08/x
  3. Step 3: Cross multiply
    5,393.84x = 7,446 × 4,068.08
  4. Step 4: Simplify right side
    5,393.84x = 30,290,923.68
  5. Step 5: Solve for x
    x = 30,290,923.68/5,393.84
  6. Step 6: Final answer
    x = 5,615.84

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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.