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Finding the Fourth Proportional to 3,672.64, 5,507.42 and 1,206.10

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Solution

The fourth proportional to 3,672.64, 5,507.42 and 1,206.10 is: 1,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.64 : 5,507.42 = 1,206.10 : x
  2. Step 2: Convert to fraction form
    3,672.64/5,507.42 = 1,206.10/x
  3. Step 3: Cross multiply
    3,672.64x = 5,507.42 × 1,206.10
  4. Step 4: Simplify right side
    3,672.64x = 6,642,499.26
  5. Step 5: Solve for x
    x = 6,642,499.26/3,672.64
  6. Step 6: Final answer
    x = 1,808.64

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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.