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Finding the Fourth Proportional to 5,620.11, 7,699.47 and 5,409.78

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Solution

The fourth proportional to 5,620.11, 7,699.47 and 5,409.78 is: 7,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.11 : 7,699.47 = 5,409.78 : x
  2. Step 2: Convert to fraction form
    5,620.11/7,699.47 = 5,409.78/x
  3. Step 3: Cross multiply
    5,620.11x = 7,699.47 × 5,409.78
  4. Step 4: Simplify right side
    5,620.11x = 41,652,438.82
  5. Step 5: Solve for x
    x = 41,652,438.82/5,620.11
  6. Step 6: Final answer
    x = 7,411.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.