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Finding the Fourth Proportional to 5,661.09, 7,812.35 and 3,424.45

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Solution

The fourth proportional to 5,661.09, 7,812.35 and 3,424.45 is: 4,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.09 : 7,812.35 = 3,424.45 : x
  2. Step 2: Convert to fraction form
    5,661.09/7,812.35 = 3,424.45/x
  3. Step 3: Cross multiply
    5,661.09x = 7,812.35 × 3,424.45
  4. Step 4: Simplify right side
    5,661.09x = 26,753,001.96
  5. Step 5: Solve for x
    x = 26,753,001.96/5,661.09
  6. Step 6: Final answer
    x = 4,725.77

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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.