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Finding the Fourth Proportional to 3,507.78, 5,261.64 and 1,009.04

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Solution

The fourth proportional to 3,507.78, 5,261.64 and 1,009.04 is: 1,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.78 : 5,261.64 = 1,009.04 : x
  2. Step 2: Convert to fraction form
    3,507.78/5,261.64 = 1,009.04/x
  3. Step 3: Cross multiply
    3,507.78x = 5,261.64 × 1,009.04
  4. Step 4: Simplify right side
    3,507.78x = 5,309,178.92
  5. Step 5: Solve for x
    x = 5,309,178.92/3,507.78
  6. Step 6: Final answer
    x = 1,513.54

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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.