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Finding the Fourth Proportional to 5,151.75, 7,104.24 and 4,582.82

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Solution

The fourth proportional to 5,151.75, 7,104.24 and 4,582.82 is: 6,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.75 : 7,104.24 = 4,582.82 : x
  2. Step 2: Convert to fraction form
    5,151.75/7,104.24 = 4,582.82/x
  3. Step 3: Cross multiply
    5,151.75x = 7,104.24 × 4,582.82
  4. Step 4: Simplify right side
    5,151.75x = 32,557,417.64
  5. Step 5: Solve for x
    x = 32,557,417.64/5,151.75
  6. Step 6: Final answer
    x = 6,319.68

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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.