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Finding the Fourth Proportional to 5,497.26, 7,583.43 and 3,477.27

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Solution

The fourth proportional to 5,497.26, 7,583.43 and 3,477.27 is: 4,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.26 : 7,583.43 = 3,477.27 : x
  2. Step 2: Convert to fraction form
    5,497.26/7,583.43 = 3,477.27/x
  3. Step 3: Cross multiply
    5,497.26x = 7,583.43 × 3,477.27
  4. Step 4: Simplify right side
    5,497.26x = 26,369,662.07
  5. Step 5: Solve for x
    x = 26,369,662.07/5,497.26
  6. Step 6: Final answer
    x = 4,796.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.