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Finding the Fourth Proportional to 5,666.05, 7,819.52 and 3,428.02

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Solution

The fourth proportional to 5,666.05, 7,819.52 and 3,428.02 is: 4,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.05 : 7,819.52 = 3,428.02 : x
  2. Step 2: Convert to fraction form
    5,666.05/7,819.52 = 3,428.02/x
  3. Step 3: Cross multiply
    5,666.05x = 7,819.52 × 3,428.02
  4. Step 4: Simplify right side
    5,666.05x = 26,805,470.95
  5. Step 5: Solve for x
    x = 26,805,470.95/5,666.05
  6. Step 6: Final answer
    x = 4,730.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.