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Finding the Fourth Proportional to 5,736.76, 8,590.56 and 3,783.04

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Solution

The fourth proportional to 5,736.76, 8,590.56 and 3,783.04 is: 5,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.76 : 8,590.56 = 3,783.04 : x
  2. Step 2: Convert to fraction form
    5,736.76/8,590.56 = 3,783.04/x
  3. Step 3: Cross multiply
    5,736.76x = 8,590.56 × 3,783.04
  4. Step 4: Simplify right side
    5,736.76x = 32,498,432.10
  5. Step 5: Solve for x
    x = 32,498,432.10/5,736.76
  6. Step 6: Final answer
    x = 5,664.95

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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.