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Finding the Fourth Proportional to 4,716.32, 7,074.58 and 1,429.22

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Solution

The fourth proportional to 4,716.32, 7,074.58 and 1,429.22 is: 2,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.32 : 7,074.58 = 1,429.22 : x
  2. Step 2: Convert to fraction form
    4,716.32/7,074.58 = 1,429.22/x
  3. Step 3: Cross multiply
    4,716.32x = 7,074.58 × 1,429.22
  4. Step 4: Simplify right side
    4,716.32x = 10,111,131.23
  5. Step 5: Solve for x
    x = 10,111,131.23/4,716.32
  6. Step 6: Final answer
    x = 2,143.86

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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.