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Finding the Fourth Proportional to 5,161.59, 7,738.07 and 3,597.01

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Solution

The fourth proportional to 5,161.59, 7,738.07 and 3,597.01 is: 5,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.59 : 7,738.07 = 3,597.01 : x
  2. Step 2: Convert to fraction form
    5,161.59/7,738.07 = 3,597.01/x
  3. Step 3: Cross multiply
    5,161.59x = 7,738.07 × 3,597.01
  4. Step 4: Simplify right side
    5,161.59x = 27,833,877.84
  5. Step 5: Solve for x
    x = 27,833,877.84/5,161.59
  6. Step 6: Final answer
    x = 5,392.50

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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.