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Finding the Fourth Proportional to 3,569.73, 5,329.04 and 3,102.77

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Solution

The fourth proportional to 3,569.73, 5,329.04 and 3,102.77 is: 4,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.73 : 5,329.04 = 3,102.77 : x
  2. Step 2: Convert to fraction form
    3,569.73/5,329.04 = 3,102.77/x
  3. Step 3: Cross multiply
    3,569.73x = 5,329.04 × 3,102.77
  4. Step 4: Simplify right side
    3,569.73x = 16,534,753.27
  5. Step 5: Solve for x
    x = 16,534,753.27/3,569.73
  6. Step 6: Final answer
    x = 4,631.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.