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Finding the Fourth Proportional to 5,732.76, 8,559.91 and 5,135.94

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Solution

The fourth proportional to 5,732.76, 8,559.91 and 5,135.94 is: 7,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.76 : 8,559.91 = 5,135.94 : x
  2. Step 2: Convert to fraction form
    5,732.76/8,559.91 = 5,135.94/x
  3. Step 3: Cross multiply
    5,732.76x = 8,559.91 × 5,135.94
  4. Step 4: Simplify right side
    5,732.76x = 43,963,128.53
  5. Step 5: Solve for x
    x = 43,963,128.53/5,732.76
  6. Step 6: Final answer
    x = 7,668.75

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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.