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Finding the Fourth Proportional to 4,678.73, 7,021.56 and 2,214.31

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Solution

The fourth proportional to 4,678.73, 7,021.56 and 2,214.31 is: 3,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.73 : 7,021.56 = 2,214.31 : x
  2. Step 2: Convert to fraction form
    4,678.73/7,021.56 = 2,214.31/x
  3. Step 3: Cross multiply
    4,678.73x = 7,021.56 × 2,214.31
  4. Step 4: Simplify right side
    4,678.73x = 15,547,910.52
  5. Step 5: Solve for x
    x = 15,547,910.52/4,678.73
  6. Step 6: Final answer
    x = 3,323.10

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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.