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Finding the Fourth Proportional to 5,815.60, 8,023.56 and 3,828.16

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Solution

The fourth proportional to 5,815.60, 8,023.56 and 3,828.16 is: 5,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.60 : 8,023.56 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    5,815.60/8,023.56 = 3,828.16/x
  3. Step 3: Cross multiply
    5,815.60x = 8,023.56 × 3,828.16
  4. Step 4: Simplify right side
    5,815.60x = 30,715,467.12
  5. Step 5: Solve for x
    x = 30,715,467.12/5,815.60
  6. Step 6: Final answer
    x = 5,281.57

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