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Finding the Fourth Proportional to 3,417.57, 5,122.56 and 1,336.59

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Solution

The fourth proportional to 3,417.57, 5,122.56 and 1,336.59 is: 2,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.57 : 5,122.56 = 1,336.59 : x
  2. Step 2: Convert to fraction form
    3,417.57/5,122.56 = 1,336.59/x
  3. Step 3: Cross multiply
    3,417.57x = 5,122.56 × 1,336.59
  4. Step 4: Simplify right side
    3,417.57x = 6,846,762.47
  5. Step 5: Solve for x
    x = 6,846,762.47/3,417.57
  6. Step 6: Final answer
    x = 2,003.40

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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.