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Finding the Fourth Proportional to 5,284.88, 7,928.40 and 1,821.68

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Solution

The fourth proportional to 5,284.88, 7,928.40 and 1,821.68 is: 2,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.88 : 7,928.40 = 1,821.68 : x
  2. Step 2: Convert to fraction form
    5,284.88/7,928.40 = 1,821.68/x
  3. Step 3: Cross multiply
    5,284.88x = 7,928.40 × 1,821.68
  4. Step 4: Simplify right side
    5,284.88x = 14,443,007.71
  5. Step 5: Solve for x
    x = 14,443,007.71/5,284.88
  6. Step 6: Final answer
    x = 2,732.89

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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.