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Finding the Fourth Proportional to 4,716.93, 7,074.19 and 1,429.14

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Solution

The fourth proportional to 4,716.93, 7,074.19 and 1,429.14 is: 2,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.93 : 7,074.19 = 1,429.14 : x
  2. Step 2: Convert to fraction form
    4,716.93/7,074.19 = 1,429.14/x
  3. Step 3: Cross multiply
    4,716.93x = 7,074.19 × 1,429.14
  4. Step 4: Simplify right side
    4,716.93x = 10,110,028.17
  5. Step 5: Solve for x
    x = 10,110,028.17/4,716.93
  6. Step 6: Final answer
    x = 2,143.35

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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.