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Finding the Fourth Proportional to 5,943.54, 8,204.85 and 3,848.34

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Solution

The fourth proportional to 5,943.54, 8,204.85 and 3,848.34 is: 5,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.54 : 8,204.85 = 3,848.34 : x
  2. Step 2: Convert to fraction form
    5,943.54/8,204.85 = 3,848.34/x
  3. Step 3: Cross multiply
    5,943.54x = 8,204.85 × 3,848.34
  4. Step 4: Simplify right side
    5,943.54x = 31,575,052.45
  5. Step 5: Solve for x
    x = 31,575,052.45/5,943.54
  6. Step 6: Final answer
    x = 5,312.50

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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.