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Finding the Fourth Proportional to 4,083.58, 6,123.49 and 1,742.46

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Solution

The fourth proportional to 4,083.58, 6,123.49 and 1,742.46 is: 2,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.58 : 6,123.49 = 1,742.46 : x
  2. Step 2: Convert to fraction form
    4,083.58/6,123.49 = 1,742.46/x
  3. Step 3: Cross multiply
    4,083.58x = 6,123.49 × 1,742.46
  4. Step 4: Simplify right side
    4,083.58x = 10,669,941.06
  5. Step 5: Solve for x
    x = 10,669,941.06/4,083.58
  6. Step 6: Final answer
    x = 2,612.89

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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.