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Finding the Fourth Proportional to 5,639.85, 8,457.40 and 1,689.68

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Solution

The fourth proportional to 5,639.85, 8,457.40 and 1,689.68 is: 2,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.85 : 8,457.40 = 1,689.68 : x
  2. Step 2: Convert to fraction form
    5,639.85/8,457.40 = 1,689.68/x
  3. Step 3: Cross multiply
    5,639.85x = 8,457.40 × 1,689.68
  4. Step 4: Simplify right side
    5,639.85x = 14,290,299.63
  5. Step 5: Solve for x
    x = 14,290,299.63/5,639.85
  6. Step 6: Final answer
    x = 2,533.81

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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.