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Finding the Fourth Proportional to 6,537.50, 9,021.84 and 3,553.40

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Solution

The fourth proportional to 6,537.50, 9,021.84 and 3,553.40 is: 4,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.50 : 9,021.84 = 3,553.40 : x
  2. Step 2: Convert to fraction form
    6,537.50/9,021.84 = 3,553.40/x
  3. Step 3: Cross multiply
    6,537.50x = 9,021.84 × 3,553.40
  4. Step 4: Simplify right side
    6,537.50x = 32,058,206.26
  5. Step 5: Solve for x
    x = 32,058,206.26/6,537.50
  6. Step 6: Final answer
    x = 4,903.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.