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Finding the Fourth Proportional to 5,705.59, 7,873.34 and 3,187.57

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Solution

The fourth proportional to 5,705.59, 7,873.34 and 3,187.57 is: 4,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.59 : 7,873.34 = 3,187.57 : x
  2. Step 2: Convert to fraction form
    5,705.59/7,873.34 = 3,187.57/x
  3. Step 3: Cross multiply
    5,705.59x = 7,873.34 × 3,187.57
  4. Step 4: Simplify right side
    5,705.59x = 25,096,831.05
  5. Step 5: Solve for x
    x = 25,096,831.05/5,705.59
  6. Step 6: Final answer
    x = 4,398.64

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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.