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Finding the Fourth Proportional to 5,243.84, 7,848.48 and 4,667.84

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Solution

The fourth proportional to 5,243.84, 7,848.48 and 4,667.84 is: 6,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.84 : 7,848.48 = 4,667.84 : x
  2. Step 2: Convert to fraction form
    5,243.84/7,848.48 = 4,667.84/x
  3. Step 3: Cross multiply
    5,243.84x = 7,848.48 × 4,667.84
  4. Step 4: Simplify right side
    5,243.84x = 36,635,448.88
  5. Step 5: Solve for x
    x = 36,635,448.88/5,243.84
  6. Step 6: Final answer
    x = 6,986.38

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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.