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Finding the Fourth Proportional to 3,569.86, 4,928.64 and 2,294.25

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Solution

The fourth proportional to 3,569.86, 4,928.64 and 2,294.25 is: 3,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.86 : 4,928.64 = 2,294.25 : x
  2. Step 2: Convert to fraction form
    3,569.86/4,928.64 = 2,294.25/x
  3. Step 3: Cross multiply
    3,569.86x = 4,928.64 × 2,294.25
  4. Step 4: Simplify right side
    3,569.86x = 11,307,520.85
  5. Step 5: Solve for x
    x = 11,307,520.85/3,569.86
  6. Step 6: Final answer
    x = 3,167.50

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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.