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Finding the Fourth Proportional to 3,815.36, 5,746.56 and 3,544.96

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Solution

The fourth proportional to 3,815.36, 5,746.56 and 3,544.96 is: 5,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.36 : 5,746.56 = 3,544.96 : x
  2. Step 2: Convert to fraction form
    3,815.36/5,746.56 = 3,544.96/x
  3. Step 3: Cross multiply
    3,815.36x = 5,746.56 × 3,544.96
  4. Step 4: Simplify right side
    3,815.36x = 20,371,325.34
  5. Step 5: Solve for x
    x = 20,371,325.34/3,815.36
  6. Step 6: Final answer
    x = 5,339.29

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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.