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Finding the Fourth Proportional to 5,626.64, 7,764.45 and 3,360.54

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Solution

The fourth proportional to 5,626.64, 7,764.45 and 3,360.54 is: 4,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.64 : 7,764.45 = 3,360.54 : x
  2. Step 2: Convert to fraction form
    5,626.64/7,764.45 = 3,360.54/x
  3. Step 3: Cross multiply
    5,626.64x = 7,764.45 × 3,360.54
  4. Step 4: Simplify right side
    5,626.64x = 26,092,744.80
  5. Step 5: Solve for x
    x = 26,092,744.80/5,626.64
  6. Step 6: Final answer
    x = 4,637.36

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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.