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Finding the Fourth Proportional to 6,133.48, 8,464.26 and 3,649

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Solution

The fourth proportional to 6,133.48, 8,464.26 and 3,649 is: 5,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.48 : 8,464.26 = 3,649 : x
  2. Step 2: Convert to fraction form
    6,133.48/8,464.26 = 3,649/x
  3. Step 3: Cross multiply
    6,133.48x = 8,464.26 × 3,649
  4. Step 4: Simplify right side
    6,133.48x = 30,886,084.74
  5. Step 5: Solve for x
    x = 30,886,084.74/6,133.48
  6. Step 6: Final answer
    x = 5,035.65

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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.