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Finding the Fourth Proportional to 3,491.96, 4,820.94 and 2,429.42

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Solution

The fourth proportional to 3,491.96, 4,820.94 and 2,429.42 is: 3,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.96 : 4,820.94 = 2,429.42 : x
  2. Step 2: Convert to fraction form
    3,491.96/4,820.94 = 2,429.42/x
  3. Step 3: Cross multiply
    3,491.96x = 4,820.94 × 2,429.42
  4. Step 4: Simplify right side
    3,491.96x = 11,712,063.95
  5. Step 5: Solve for x
    x = 11,712,063.95/3,491.96
  6. Step 6: Final answer
    x = 3,354.01

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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.