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Finding the Fourth Proportional to 5,562.84, 7,659.18 and 4,232.28

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Solution

The fourth proportional to 5,562.84, 7,659.18 and 4,232.28 is: 5,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.84 : 7,659.18 = 4,232.28 : x
  2. Step 2: Convert to fraction form
    5,562.84/7,659.18 = 4,232.28/x
  3. Step 3: Cross multiply
    5,562.84x = 7,659.18 × 4,232.28
  4. Step 4: Simplify right side
    5,562.84x = 32,415,794.33
  5. Step 5: Solve for x
    x = 32,415,794.33/5,562.84
  6. Step 6: Final answer
    x = 5,827.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.