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Finding the Fourth Proportional to 5,752.90, 8,639.75 and 5,289.83

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Solution

The fourth proportional to 5,752.90, 8,639.75 and 5,289.83 is: 7,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.90 : 8,639.75 = 5,289.83 : x
  2. Step 2: Convert to fraction form
    5,752.90/8,639.75 = 5,289.83/x
  3. Step 3: Cross multiply
    5,752.90x = 8,639.75 × 5,289.83
  4. Step 4: Simplify right side
    5,752.90x = 45,702,843.57
  5. Step 5: Solve for x
    x = 45,702,843.57/5,752.90
  6. Step 6: Final answer
    x = 7,944.32

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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.