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Finding the Fourth Proportional to 6,848.98, 10,279.89 and 3,564.40

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Solution

The fourth proportional to 6,848.98, 10,279.89 and 3,564.40 is: 5,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.98 : 10,279.89 = 3,564.40 : x
  2. Step 2: Convert to fraction form
    6,848.98/10,279.89 = 3,564.40/x
  3. Step 3: Cross multiply
    6,848.98x = 10,279.89 × 3,564.40
  4. Step 4: Simplify right side
    6,848.98x = 36,641,639.92
  5. Step 5: Solve for x
    x = 36,641,639.92/6,848.98
  6. Step 6: Final answer
    x = 5,349.94

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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.