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Finding the Fourth Proportional to 5,542.86, 8,303.31 and 4,569.60

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Solution

The fourth proportional to 5,542.86, 8,303.31 and 4,569.60 is: 6,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.86 : 8,303.31 = 4,569.60 : x
  2. Step 2: Convert to fraction form
    5,542.86/8,303.31 = 4,569.60/x
  3. Step 3: Cross multiply
    5,542.86x = 8,303.31 × 4,569.60
  4. Step 4: Simplify right side
    5,542.86x = 37,942,805.38
  5. Step 5: Solve for x
    x = 37,942,805.38/5,542.86
  6. Step 6: Final answer
    x = 6,845.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.