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Finding the Fourth Proportional to 3,096.47, 4,638.14 and 2,435.21

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Solution

The fourth proportional to 3,096.47, 4,638.14 and 2,435.21 is: 3,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.47 : 4,638.14 = 2,435.21 : x
  2. Step 2: Convert to fraction form
    3,096.47/4,638.14 = 2,435.21/x
  3. Step 3: Cross multiply
    3,096.47x = 4,638.14 × 2,435.21
  4. Step 4: Simplify right side
    3,096.47x = 11,294,862.59
  5. Step 5: Solve for x
    x = 11,294,862.59/3,096.47
  6. Step 6: Final answer
    x = 3,647.65

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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.