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Finding the Fourth Proportional to 5,291.02, 7,270 and 4,949.74

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Solution

The fourth proportional to 5,291.02, 7,270 and 4,949.74 is: 6,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.02 : 7,270 = 4,949.74 : x
  2. Step 2: Convert to fraction form
    5,291.02/7,270 = 4,949.74/x
  3. Step 3: Cross multiply
    5,291.02x = 7,270 × 4,949.74
  4. Step 4: Simplify right side
    5,291.02x = 35,984,609.80
  5. Step 5: Solve for x
    x = 35,984,609.80/5,291.02
  6. Step 6: Final answer
    x = 6,801.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.