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Finding the Fourth Proportional to 3,815.58, 5,746.20 and 3,358.32

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Solution

The fourth proportional to 3,815.58, 5,746.20 and 3,358.32 is: 5,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.58 : 5,746.20 = 3,358.32 : x
  2. Step 2: Convert to fraction form
    3,815.58/5,746.20 = 3,358.32/x
  3. Step 3: Cross multiply
    3,815.58x = 5,746.20 × 3,358.32
  4. Step 4: Simplify right side
    3,815.58x = 19,297,578.38
  5. Step 5: Solve for x
    x = 19,297,578.38/3,815.58
  6. Step 6: Final answer
    x = 5,057.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.