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Finding the Fourth Proportional to 5,090.08, 7,574.16 and 5,072.80

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Solution

The fourth proportional to 5,090.08, 7,574.16 and 5,072.80 is: 7,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.08 : 7,574.16 = 5,072.80 : x
  2. Step 2: Convert to fraction form
    5,090.08/7,574.16 = 5,072.80/x
  3. Step 3: Cross multiply
    5,090.08x = 7,574.16 × 5,072.80
  4. Step 4: Simplify right side
    5,090.08x = 38,422,198.85
  5. Step 5: Solve for x
    x = 38,422,198.85/5,090.08
  6. Step 6: Final answer
    x = 7,548.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.