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Finding the Fourth Proportional to 5,684.54, 8,508.31 and 4,897.22

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Solution

The fourth proportional to 5,684.54, 8,508.31 and 4,897.22 is: 7,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.54 : 8,508.31 = 4,897.22 : x
  2. Step 2: Convert to fraction form
    5,684.54/8,508.31 = 4,897.22/x
  3. Step 3: Cross multiply
    5,684.54x = 8,508.31 × 4,897.22
  4. Step 4: Simplify right side
    5,684.54x = 41,667,011.11
  5. Step 5: Solve for x
    x = 41,667,011.11/5,684.54
  6. Step 6: Final answer
    x = 7,329.89

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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.