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Finding the Fourth Proportional to 3,860.52, 5,322.54 and 3,151.68

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Solution

The fourth proportional to 3,860.52, 5,322.54 and 3,151.68 is: 4,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.52 : 5,322.54 = 3,151.68 : x
  2. Step 2: Convert to fraction form
    3,860.52/5,322.54 = 3,151.68/x
  3. Step 3: Cross multiply
    3,860.52x = 5,322.54 × 3,151.68
  4. Step 4: Simplify right side
    3,860.52x = 16,774,942.87
  5. Step 5: Solve for x
    x = 16,774,942.87/3,860.52
  6. Step 6: Final answer
    x = 4,345.25

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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.