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Finding the Fourth Proportional to 3,465.60, 5,195.49 and 1,615.76

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Solution

The fourth proportional to 3,465.60, 5,195.49 and 1,615.76 is: 2,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.60 : 5,195.49 = 1,615.76 : x
  2. Step 2: Convert to fraction form
    3,465.60/5,195.49 = 1,615.76/x
  3. Step 3: Cross multiply
    3,465.60x = 5,195.49 × 1,615.76
  4. Step 4: Simplify right side
    3,465.60x = 8,394,638.94
  5. Step 5: Solve for x
    x = 8,394,638.94/3,465.60
  6. Step 6: Final answer
    x = 2,422.28

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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.