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Finding the Fourth Proportional to 5,420.74, 8,123.82 and 3,953.02

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Solution

The fourth proportional to 5,420.74, 8,123.82 and 3,953.02 is: 5,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.74 : 8,123.82 = 3,953.02 : x
  2. Step 2: Convert to fraction form
    5,420.74/8,123.82 = 3,953.02/x
  3. Step 3: Cross multiply
    5,420.74x = 8,123.82 × 3,953.02
  4. Step 4: Simplify right side
    5,420.74x = 32,113,622.94
  5. Step 5: Solve for x
    x = 32,113,622.94/5,420.74
  6. Step 6: Final answer
    x = 5,924.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.