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Finding the Fourth Proportional to 3,507.98, 5,260.44 and 1,864.13

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Solution

The fourth proportional to 3,507.98, 5,260.44 and 1,864.13 is: 2,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.98 : 5,260.44 = 1,864.13 : x
  2. Step 2: Convert to fraction form
    3,507.98/5,260.44 = 1,864.13/x
  3. Step 3: Cross multiply
    3,507.98x = 5,260.44 × 1,864.13
  4. Step 4: Simplify right side
    3,507.98x = 9,806,144.02
  5. Step 5: Solve for x
    x = 9,806,144.02/3,507.98
  6. Step 6: Final answer
    x = 2,795.38

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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.