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Finding the Fourth Proportional to 3,757.68, 5,185.08 and 2,362.32

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Solution

The fourth proportional to 3,757.68, 5,185.08 and 2,362.32 is: 3,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.68 : 5,185.08 = 2,362.32 : x
  2. Step 2: Convert to fraction form
    3,757.68/5,185.08 = 2,362.32/x
  3. Step 3: Cross multiply
    3,757.68x = 5,185.08 × 2,362.32
  4. Step 4: Simplify right side
    3,757.68x = 12,248,818.19
  5. Step 5: Solve for x
    x = 12,248,818.19/3,757.68
  6. Step 6: Final answer
    x = 3,259.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.