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Finding the Fourth Proportional to 5,648.68, 7,796.10 and 3,410.70

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Solution

The fourth proportional to 5,648.68, 7,796.10 and 3,410.70 is: 4,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.68 : 7,796.10 = 3,410.70 : x
  2. Step 2: Convert to fraction form
    5,648.68/7,796.10 = 3,410.70/x
  3. Step 3: Cross multiply
    5,648.68x = 7,796.10 × 3,410.70
  4. Step 4: Simplify right side
    5,648.68x = 26,590,158.27
  5. Step 5: Solve for x
    x = 26,590,158.27/5,648.68
  6. Step 6: Final answer
    x = 4,707.32

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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.