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Finding the Fourth Proportional to 3,507.87, 5,261.09 and 1,316.55

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Solution

The fourth proportional to 3,507.87, 5,261.09 and 1,316.55 is: 1,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.87 : 5,261.09 = 1,316.55 : x
  2. Step 2: Convert to fraction form
    3,507.87/5,261.09 = 1,316.55/x
  3. Step 3: Cross multiply
    3,507.87x = 5,261.09 × 1,316.55
  4. Step 4: Simplify right side
    3,507.87x = 6,926,481.46
  5. Step 5: Solve for x
    x = 6,926,481.46/3,507.87
  6. Step 6: Final answer
    x = 1,974.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.