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Finding the Fourth Proportional to 4,524.50, 6,256.78 and 4,318.22

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Solution

The fourth proportional to 4,524.50, 6,256.78 and 4,318.22 is: 5,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524.50 : 6,256.78 = 4,318.22 : x
  2. Step 2: Convert to fraction form
    4,524.50/6,256.78 = 4,318.22/x
  3. Step 3: Cross multiply
    4,524.50x = 6,256.78 × 4,318.22
  4. Step 4: Simplify right side
    4,524.50x = 27,018,152.53
  5. Step 5: Solve for x
    x = 27,018,152.53/4,524.50
  6. Step 6: Final answer
    x = 5,971.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.