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Finding the Fourth Proportional to 3,837.60, 5,759.32 and 2,602.08

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Solution

The fourth proportional to 3,837.60, 5,759.32 and 2,602.08 is: 3,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.60 : 5,759.32 = 2,602.08 : x
  2. Step 2: Convert to fraction form
    3,837.60/5,759.32 = 2,602.08/x
  3. Step 3: Cross multiply
    3,837.60x = 5,759.32 × 2,602.08
  4. Step 4: Simplify right side
    3,837.60x = 14,986,211.39
  5. Step 5: Solve for x
    x = 14,986,211.39/3,837.60
  6. Step 6: Final answer
    x = 3,905.10

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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.