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Finding the Fourth Proportional to 3,083.58, 4,622.04 and 1,438.74

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Solution

The fourth proportional to 3,083.58, 4,622.04 and 1,438.74 is: 2,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.58 : 4,622.04 = 1,438.74 : x
  2. Step 2: Convert to fraction form
    3,083.58/4,622.04 = 1,438.74/x
  3. Step 3: Cross multiply
    3,083.58x = 4,622.04 × 1,438.74
  4. Step 4: Simplify right side
    3,083.58x = 6,649,913.83
  5. Step 5: Solve for x
    x = 6,649,913.83/3,083.58
  6. Step 6: Final answer
    x = 2,156.56

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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.