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Finding the Fourth Proportional to 5,707.75, 7,877.11 and 3,318.36

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Solution

The fourth proportional to 5,707.75, 7,877.11 and 3,318.36 is: 4,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.75 : 7,877.11 = 3,318.36 : x
  2. Step 2: Convert to fraction form
    5,707.75/7,877.11 = 3,318.36/x
  3. Step 3: Cross multiply
    5,707.75x = 7,877.11 × 3,318.36
  4. Step 4: Simplify right side
    5,707.75x = 26,139,086.74
  5. Step 5: Solve for x
    x = 26,139,086.74/5,707.75
  6. Step 6: Final answer
    x = 4,579.58

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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.