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Finding the Fourth Proportional to 4,111.58, 5,635.94 and 4,056.21

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Solution

The fourth proportional to 4,111.58, 5,635.94 and 4,056.21 is: 5,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.58 : 5,635.94 = 4,056.21 : x
  2. Step 2: Convert to fraction form
    4,111.58/5,635.94 = 4,056.21/x
  3. Step 3: Cross multiply
    4,111.58x = 5,635.94 × 4,056.21
  4. Step 4: Simplify right side
    4,111.58x = 22,860,535.91
  5. Step 5: Solve for x
    x = 22,860,535.91/4,111.58
  6. Step 6: Final answer
    x = 5,560.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.