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Finding the Fourth Proportional to 5,620.84, 8,424.20 and 2,659.28

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Solution

The fourth proportional to 5,620.84, 8,424.20 and 2,659.28 is: 3,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.84 : 8,424.20 = 2,659.28 : x
  2. Step 2: Convert to fraction form
    5,620.84/8,424.20 = 2,659.28/x
  3. Step 3: Cross multiply
    5,620.84x = 8,424.20 × 2,659.28
  4. Step 4: Simplify right side
    5,620.84x = 22,402,318.49
  5. Step 5: Solve for x
    x = 22,402,318.49/5,620.84
  6. Step 6: Final answer
    x = 3,985.58

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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.