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Finding the Fourth Proportional to 4,716.95, 7,074.64 and 1,429.26

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Solution

The fourth proportional to 4,716.95, 7,074.64 and 1,429.26 is: 2,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.95 : 7,074.64 = 1,429.26 : x
  2. Step 2: Convert to fraction form
    4,716.95/7,074.64 = 1,429.26/x
  3. Step 3: Cross multiply
    4,716.95x = 7,074.64 × 1,429.26
  4. Step 4: Simplify right side
    4,716.95x = 10,111,499.97
  5. Step 5: Solve for x
    x = 10,111,499.97/4,716.95
  6. Step 6: Final answer
    x = 2,143.65

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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.