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Finding the Fourth Proportional to 5,534, 7,637.04 and 3,050

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Solution

The fourth proportional to 5,534, 7,637.04 and 3,050 is: 4,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534 : 7,637.04 = 3,050 : x
  2. Step 2: Convert to fraction form
    5,534/7,637.04 = 3,050/x
  3. Step 3: Cross multiply
    5,534x = 7,637.04 × 3,050
  4. Step 4: Simplify right side
    5,534x = 23,292,972
  5. Step 5: Solve for x
    x = 23,292,972/5,534
  6. Step 6: Final answer
    x = 4,209.07

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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.