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Finding the Fourth Proportional to 5,507.84, 7,600.80 and 3,271.56

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Solution

The fourth proportional to 5,507.84, 7,600.80 and 3,271.56 is: 4,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.84 : 7,600.80 = 3,271.56 : x
  2. Step 2: Convert to fraction form
    5,507.84/7,600.80 = 3,271.56/x
  3. Step 3: Cross multiply
    5,507.84x = 7,600.80 × 3,271.56
  4. Step 4: Simplify right side
    5,507.84x = 24,866,473.25
  5. Step 5: Solve for x
    x = 24,866,473.25/5,507.84
  6. Step 6: Final answer
    x = 4,514.74

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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.