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Finding the Fourth Proportional to 3,507.22, 5,259.92 and 1,041.46

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Solution

The fourth proportional to 3,507.22, 5,259.92 and 1,041.46 is: 1,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.22 : 5,259.92 = 1,041.46 : x
  2. Step 2: Convert to fraction form
    3,507.22/5,259.92 = 1,041.46/x
  3. Step 3: Cross multiply
    3,507.22x = 5,259.92 × 1,041.46
  4. Step 4: Simplify right side
    3,507.22x = 5,477,996.28
  5. Step 5: Solve for x
    x = 5,477,996.28/3,507.22
  6. Step 6: Final answer
    x = 1,561.92

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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.