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Finding the Fourth Proportional to 5,109.09, 7,658.18 and 2,913.09

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Solution

The fourth proportional to 5,109.09, 7,658.18 and 2,913.09 is: 4,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.09 : 7,658.18 = 2,913.09 : x
  2. Step 2: Convert to fraction form
    5,109.09/7,658.18 = 2,913.09/x
  3. Step 3: Cross multiply
    5,109.09x = 7,658.18 × 2,913.09
  4. Step 4: Simplify right side
    5,109.09x = 22,308,929.29
  5. Step 5: Solve for x
    x = 22,308,929.29/5,109.09
  6. Step 6: Final answer
    x = 4,366.52

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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.