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Finding the Fourth Proportional to 4,716.02, 7,075.14 and 1,428.92

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Solution

The fourth proportional to 4,716.02, 7,075.14 and 1,428.92 is: 2,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.02 : 7,075.14 = 1,428.92 : x
  2. Step 2: Convert to fraction form
    4,716.02/7,075.14 = 1,428.92/x
  3. Step 3: Cross multiply
    4,716.02x = 7,075.14 × 1,428.92
  4. Step 4: Simplify right side
    4,716.02x = 10,109,809.05
  5. Step 5: Solve for x
    x = 10,109,809.05/4,716.02
  6. Step 6: Final answer
    x = 2,143.72

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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.