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Finding the Fourth Proportional to 5,036.21, 6,946.13 and 4,469.63

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Solution

The fourth proportional to 5,036.21, 6,946.13 and 4,469.63 is: 6,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.21 : 6,946.13 = 4,469.63 : x
  2. Step 2: Convert to fraction form
    5,036.21/6,946.13 = 4,469.63/x
  3. Step 3: Cross multiply
    5,036.21x = 6,946.13 × 4,469.63
  4. Step 4: Simplify right side
    5,036.21x = 31,046,626.05
  5. Step 5: Solve for x
    x = 31,046,626.05/5,036.21
  6. Step 6: Final answer
    x = 6,164.69

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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.