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Finding the Fourth Proportional to 5,564.51, 7,669.86 and 3,949.98

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Solution

The fourth proportional to 5,564.51, 7,669.86 and 3,949.98 is: 5,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.51 : 7,669.86 = 3,949.98 : x
  2. Step 2: Convert to fraction form
    5,564.51/7,669.86 = 3,949.98/x
  3. Step 3: Cross multiply
    5,564.51x = 7,669.86 × 3,949.98
  4. Step 4: Simplify right side
    5,564.51x = 30,295,793.60
  5. Step 5: Solve for x
    x = 30,295,793.60/5,564.51
  6. Step 6: Final answer
    x = 5,444.47

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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.