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Finding the Fourth Proportional to 5,346.54, 7,371 and 4,350.24

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Solution

The fourth proportional to 5,346.54, 7,371 and 4,350.24 is: 5,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.54 : 7,371 = 4,350.24 : x
  2. Step 2: Convert to fraction form
    5,346.54/7,371 = 4,350.24/x
  3. Step 3: Cross multiply
    5,346.54x = 7,371 × 4,350.24
  4. Step 4: Simplify right side
    5,346.54x = 32,065,619.04
  5. Step 5: Solve for x
    x = 32,065,619.04/5,346.54
  6. Step 6: Final answer
    x = 5,997.45

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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.