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Finding the Fourth Proportional to 5,635.15, 8,453.14 and 1,686.10

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Solution

The fourth proportional to 5,635.15, 8,453.14 and 1,686.10 is: 2,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.15 : 8,453.14 = 1,686.10 : x
  2. Step 2: Convert to fraction form
    5,635.15/8,453.14 = 1,686.10/x
  3. Step 3: Cross multiply
    5,635.15x = 8,453.14 × 1,686.10
  4. Step 4: Simplify right side
    5,635.15x = 14,252,839.35
  5. Step 5: Solve for x
    x = 14,252,839.35/5,635.15
  6. Step 6: Final answer
    x = 2,529.27

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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.