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Finding the Fourth Proportional to 5,639.68, 8,458.26 and 1,690.84

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Solution

The fourth proportional to 5,639.68, 8,458.26 and 1,690.84 is: 2,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.68 : 8,458.26 = 1,690.84 : x
  2. Step 2: Convert to fraction form
    5,639.68/8,458.26 = 1,690.84/x
  3. Step 3: Cross multiply
    5,639.68x = 8,458.26 × 1,690.84
  4. Step 4: Simplify right side
    5,639.68x = 14,301,564.34
  5. Step 5: Solve for x
    x = 14,301,564.34/5,639.68
  6. Step 6: Final answer
    x = 2,535.88

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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.