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Finding the Fourth Proportional to 5,708.63, 7,877.85 and 3,350.32

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Solution

The fourth proportional to 5,708.63, 7,877.85 and 3,350.32 is: 4,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.63 : 7,877.85 = 3,350.32 : x
  2. Step 2: Convert to fraction form
    5,708.63/7,877.85 = 3,350.32/x
  3. Step 3: Cross multiply
    5,708.63x = 7,877.85 × 3,350.32
  4. Step 4: Simplify right side
    5,708.63x = 26,393,318.41
  5. Step 5: Solve for x
    x = 26,393,318.41/5,708.63
  6. Step 6: Final answer
    x = 4,623.41

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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.