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Finding the Fourth Proportional to 5,048.64, 6,967.62 and 3,059.82

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Solution

The fourth proportional to 5,048.64, 6,967.62 and 3,059.82 is: 4,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.64 : 6,967.62 = 3,059.82 : x
  2. Step 2: Convert to fraction form
    5,048.64/6,967.62 = 3,059.82/x
  3. Step 3: Cross multiply
    5,048.64x = 6,967.62 × 3,059.82
  4. Step 4: Simplify right side
    5,048.64x = 21,319,663.03
  5. Step 5: Solve for x
    x = 21,319,663.03/5,048.64
  6. Step 6: Final answer
    x = 4,222.85

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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.