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Finding the Fourth Proportional to 4,891.59, 7,337.45 and 1,428.84

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Solution

The fourth proportional to 4,891.59, 7,337.45 and 1,428.84 is: 2,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.59 : 7,337.45 = 1,428.84 : x
  2. Step 2: Convert to fraction form
    4,891.59/7,337.45 = 1,428.84/x
  3. Step 3: Cross multiply
    4,891.59x = 7,337.45 × 1,428.84
  4. Step 4: Simplify right side
    4,891.59x = 10,484,045.63
  5. Step 5: Solve for x
    x = 10,484,045.63/4,891.59
  6. Step 6: Final answer
    x = 2,143.28

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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.