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Finding the Fourth Proportional to 3,530.56, 5,304 and 3,333.76

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Solution

The fourth proportional to 3,530.56, 5,304 and 3,333.76 is: 5,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.56 : 5,304 = 3,333.76 : x
  2. Step 2: Convert to fraction form
    3,530.56/5,304 = 3,333.76/x
  3. Step 3: Cross multiply
    3,530.56x = 5,304 × 3,333.76
  4. Step 4: Simplify right side
    3,530.56x = 17,682,263.04
  5. Step 5: Solve for x
    x = 17,682,263.04/3,530.56
  6. Step 6: Final answer
    x = 5,008.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.