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Finding the Fourth Proportional to 5,115.93, 7,677.69 and 3,802.74

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Solution

The fourth proportional to 5,115.93, 7,677.69 and 3,802.74 is: 5,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.93 : 7,677.69 = 3,802.74 : x
  2. Step 2: Convert to fraction form
    5,115.93/7,677.69 = 3,802.74/x
  3. Step 3: Cross multiply
    5,115.93x = 7,677.69 × 3,802.74
  4. Step 4: Simplify right side
    5,115.93x = 29,196,258.87
  5. Step 5: Solve for x
    x = 29,196,258.87/5,115.93
  6. Step 6: Final answer
    x = 5,706.93

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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.