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Finding the Fourth Proportional to 3,565.77, 5,341.67 and 1,687.99

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Solution

The fourth proportional to 3,565.77, 5,341.67 and 1,687.99 is: 2,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.77 : 5,341.67 = 1,687.99 : x
  2. Step 2: Convert to fraction form
    3,565.77/5,341.67 = 1,687.99/x
  3. Step 3: Cross multiply
    3,565.77x = 5,341.67 × 1,687.99
  4. Step 4: Simplify right side
    3,565.77x = 9,016,662.70
  5. Step 5: Solve for x
    x = 9,016,662.70/3,565.77
  6. Step 6: Final answer
    x = 2,528.67

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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.