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Finding the Fourth Proportional to 5,724.84, 7,899.66 and 4,233.60

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Solution

The fourth proportional to 5,724.84, 7,899.66 and 4,233.60 is: 5,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.84 : 7,899.66 = 4,233.60 : x
  2. Step 2: Convert to fraction form
    5,724.84/7,899.66 = 4,233.60/x
  3. Step 3: Cross multiply
    5,724.84x = 7,899.66 × 4,233.60
  4. Step 4: Simplify right side
    5,724.84x = 33,444,000.58
  5. Step 5: Solve for x
    x = 33,444,000.58/5,724.84
  6. Step 6: Final answer
    x = 5,841.91

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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.