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Finding the Fourth Proportional to 5,524.56, 7,621.65 and 3,534.66

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Solution

The fourth proportional to 5,524.56, 7,621.65 and 3,534.66 is: 4,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.56 : 7,621.65 = 3,534.66 : x
  2. Step 2: Convert to fraction form
    5,524.56/7,621.65 = 3,534.66/x
  3. Step 3: Cross multiply
    5,524.56x = 7,621.65 × 3,534.66
  4. Step 4: Simplify right side
    5,524.56x = 26,939,941.39
  5. Step 5: Solve for x
    x = 26,939,941.39/5,524.56
  6. Step 6: Final answer
    x = 4,876.40

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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.