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Finding the Fourth Proportional to 4,334.43, 6,502.45 and 1,737.57

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Solution

The fourth proportional to 4,334.43, 6,502.45 and 1,737.57 is: 2,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.43 : 6,502.45 = 1,737.57 : x
  2. Step 2: Convert to fraction form
    4,334.43/6,502.45 = 1,737.57/x
  3. Step 3: Cross multiply
    4,334.43x = 6,502.45 × 1,737.57
  4. Step 4: Simplify right side
    4,334.43x = 11,298,462.05
  5. Step 5: Solve for x
    x = 11,298,462.05/4,334.43
  6. Step 6: Final answer
    x = 2,606.68

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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.