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Finding the Fourth Proportional to 5,783.82, 8,689.57 and 3,707.88

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Solution

The fourth proportional to 5,783.82, 8,689.57 and 3,707.88 is: 5,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.82 : 8,689.57 = 3,707.88 : x
  2. Step 2: Convert to fraction form
    5,783.82/8,689.57 = 3,707.88/x
  3. Step 3: Cross multiply
    5,783.82x = 8,689.57 × 3,707.88
  4. Step 4: Simplify right side
    5,783.82x = 32,219,882.81
  5. Step 5: Solve for x
    x = 32,219,882.81/5,783.82
  6. Step 6: Final answer
    x = 5,570.69

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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.