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Finding the Fourth Proportional to 3,697.76, 5,089.92 and 3,347.84

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Solution

The fourth proportional to 3,697.76, 5,089.92 and 3,347.84 is: 4,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.76 : 5,089.92 = 3,347.84 : x
  2. Step 2: Convert to fraction form
    3,697.76/5,089.92 = 3,347.84/x
  3. Step 3: Cross multiply
    3,697.76x = 5,089.92 × 3,347.84
  4. Step 4: Simplify right side
    3,697.76x = 17,040,237.77
  5. Step 5: Solve for x
    x = 17,040,237.77/3,697.76
  6. Step 6: Final answer
    x = 4,608.26

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1.5x scale

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.