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Finding the Fourth Proportional to 6,604.48, 9,114.29 and 3,952

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Solution

The fourth proportional to 6,604.48, 9,114.29 and 3,952 is: 5,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.48 : 9,114.29 = 3,952 : x
  2. Step 2: Convert to fraction form
    6,604.48/9,114.29 = 3,952/x
  3. Step 3: Cross multiply
    6,604.48x = 9,114.29 × 3,952
  4. Step 4: Simplify right side
    6,604.48x = 36,019,674.08
  5. Step 5: Solve for x
    x = 36,019,674.08/6,604.48
  6. Step 6: Final answer
    x = 5,453.82

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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.