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Finding the Fourth Proportional to 5,837.60, 8,742.78 and 4,084.40

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Solution

The fourth proportional to 5,837.60, 8,742.78 and 4,084.40 is: 6,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.60 : 8,742.78 = 4,084.40 : x
  2. Step 2: Convert to fraction form
    5,837.60/8,742.78 = 4,084.40/x
  3. Step 3: Cross multiply
    5,837.60x = 8,742.78 × 4,084.40
  4. Step 4: Simplify right side
    5,837.60x = 35,709,010.63
  5. Step 5: Solve for x
    x = 35,709,010.63/5,837.60
  6. Step 6: Final answer
    x = 6,117.07

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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.