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Finding the Fourth Proportional to 5,217.72, 7,827.30 and 2,139

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Solution

The fourth proportional to 5,217.72, 7,827.30 and 2,139 is: 3,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.72 : 7,827.30 = 2,139 : x
  2. Step 2: Convert to fraction form
    5,217.72/7,827.30 = 2,139/x
  3. Step 3: Cross multiply
    5,217.72x = 7,827.30 × 2,139
  4. Step 4: Simplify right side
    5,217.72x = 16,742,594.70
  5. Step 5: Solve for x
    x = 16,742,594.70/5,217.72
  6. Step 6: Final answer
    x = 3,208.80

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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.