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Finding the Fourth Proportional to 5,322.24, 7,347.24 and 3,333.84

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Solution

The fourth proportional to 5,322.24, 7,347.24 and 3,333.84 is: 4,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.24 : 7,347.24 = 3,333.84 : x
  2. Step 2: Convert to fraction form
    5,322.24/7,347.24 = 3,333.84/x
  3. Step 3: Cross multiply
    5,322.24x = 7,347.24 × 3,333.84
  4. Step 4: Simplify right side
    5,322.24x = 24,494,522.60
  5. Step 5: Solve for x
    x = 24,494,522.60/5,322.24
  6. Step 6: Final answer
    x = 4,602.30

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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.