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Finding the Fourth Proportional to 5,815.14, 8,025.06 and 3,578.32

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Solution

The fourth proportional to 5,815.14, 8,025.06 and 3,578.32 is: 4,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.14 : 8,025.06 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    5,815.14/8,025.06 = 3,578.32/x
  3. Step 3: Cross multiply
    5,815.14x = 8,025.06 × 3,578.32
  4. Step 4: Simplify right side
    5,815.14x = 28,716,214.81
  5. Step 5: Solve for x
    x = 28,716,214.81/5,815.14
  6. Step 6: Final answer
    x = 4,938.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.