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Finding the Fourth Proportional to 5,145.66, 7,712.15 and 2,926.35

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Solution

The fourth proportional to 5,145.66, 7,712.15 and 2,926.35 is: 4,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.66 : 7,712.15 = 2,926.35 : x
  2. Step 2: Convert to fraction form
    5,145.66/7,712.15 = 2,926.35/x
  3. Step 3: Cross multiply
    5,145.66x = 7,712.15 × 2,926.35
  4. Step 4: Simplify right side
    5,145.66x = 22,568,450.15
  5. Step 5: Solve for x
    x = 22,568,450.15/5,145.66
  6. Step 6: Final answer
    x = 4,385.92

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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.