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Finding the Fourth Proportional to 4,891.20, 7,336.80 and 1,428

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Solution

The fourth proportional to 4,891.20, 7,336.80 and 1,428 is: 2,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.20 : 7,336.80 = 1,428 : x
  2. Step 2: Convert to fraction form
    4,891.20/7,336.80 = 1,428/x
  3. Step 3: Cross multiply
    4,891.20x = 7,336.80 × 1,428
  4. Step 4: Simplify right side
    4,891.20x = 10,476,950.40
  5. Step 5: Solve for x
    x = 10,476,950.40/4,891.20
  6. Step 6: Final answer
    x = 2,142

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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.