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Finding the Fourth Proportional to 4,952.48, 6,834.48 and 3,090.56

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Solution

The fourth proportional to 4,952.48, 6,834.48 and 3,090.56 is: 4,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.48 : 6,834.48 = 3,090.56 : x
  2. Step 2: Convert to fraction form
    4,952.48/6,834.48 = 3,090.56/x
  3. Step 3: Cross multiply
    4,952.48x = 6,834.48 × 3,090.56
  4. Step 4: Simplify right side
    4,952.48x = 21,122,370.51
  5. Step 5: Solve for x
    x = 21,122,370.51/4,952.48
  6. Step 6: Final answer
    x = 4,265.01

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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.