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Finding the Fourth Proportional to 5,090.48, 7,594.10 and 4,949.36

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Solution

The fourth proportional to 5,090.48, 7,594.10 and 4,949.36 is: 7,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.48 : 7,594.10 = 4,949.36 : x
  2. Step 2: Convert to fraction form
    5,090.48/7,594.10 = 4,949.36/x
  3. Step 3: Cross multiply
    5,090.48x = 7,594.10 × 4,949.36
  4. Step 4: Simplify right side
    5,090.48x = 37,585,934.78
  5. Step 5: Solve for x
    x = 37,585,934.78/5,090.48
  6. Step 6: Final answer
    x = 7,383.57

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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.