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Finding the Fourth Proportional to 5,569.98, 7,637.79 and 5,383.68

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Solution

The fourth proportional to 5,569.98, 7,637.79 and 5,383.68 is: 7,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.98 : 7,637.79 = 5,383.68 : x
  2. Step 2: Convert to fraction form
    5,569.98/7,637.79 = 5,383.68/x
  3. Step 3: Cross multiply
    5,569.98x = 7,637.79 × 5,383.68
  4. Step 4: Simplify right side
    5,569.98x = 41,119,417.27
  5. Step 5: Solve for x
    x = 41,119,417.27/5,569.98
  6. Step 6: Final answer
    x = 7,382.33

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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.