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Finding the Fourth Proportional to 3,507.64, 5,261.48 and 1,042.48

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Solution

The fourth proportional to 3,507.64, 5,261.48 and 1,042.48 is: 1,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.64 : 5,261.48 = 1,042.48 : x
  2. Step 2: Convert to fraction form
    3,507.64/5,261.48 = 1,042.48/x
  3. Step 3: Cross multiply
    3,507.64x = 5,261.48 × 1,042.48
  4. Step 4: Simplify right side
    3,507.64x = 5,484,987.67
  5. Step 5: Solve for x
    x = 5,484,987.67/3,507.64
  6. Step 6: Final answer
    x = 1,563.73

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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.