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Finding the Fourth Proportional to 3,507.61, 5,268.70 and 2,782.25

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Solution

The fourth proportional to 3,507.61, 5,268.70 and 2,782.25 is: 4,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.61 : 5,268.70 = 2,782.25 : x
  2. Step 2: Convert to fraction form
    3,507.61/5,268.70 = 2,782.25/x
  3. Step 3: Cross multiply
    3,507.61x = 5,268.70 × 2,782.25
  4. Step 4: Simplify right side
    3,507.61x = 14,658,853.75
  5. Step 5: Solve for x
    x = 14,658,853.75/3,507.61
  6. Step 6: Final answer
    x = 4,179.16

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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.