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Finding the Fourth Proportional to 5,089.68, 7,635.32 and 2,168

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Solution

The fourth proportional to 5,089.68, 7,635.32 and 2,168 is: 3,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.68 : 7,635.32 = 2,168 : x
  2. Step 2: Convert to fraction form
    5,089.68/7,635.32 = 2,168/x
  3. Step 3: Cross multiply
    5,089.68x = 7,635.32 × 2,168
  4. Step 4: Simplify right side
    5,089.68x = 16,553,373.76
  5. Step 5: Solve for x
    x = 16,553,373.76/5,089.68
  6. Step 6: Final answer
    x = 3,252.34

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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.