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Finding the Fourth Proportional to 4,287.84, 6,424.48 and 2,988.96

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Solution

The fourth proportional to 4,287.84, 6,424.48 and 2,988.96 is: 4,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.84 : 6,424.48 = 2,988.96 : x
  2. Step 2: Convert to fraction form
    4,287.84/6,424.48 = 2,988.96/x
  3. Step 3: Cross multiply
    4,287.84x = 6,424.48 × 2,988.96
  4. Step 4: Simplify right side
    4,287.84x = 19,202,513.74
  5. Step 5: Solve for x
    x = 19,202,513.74/4,287.84
  6. Step 6: Final answer
    x = 4,478.37

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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.