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Finding the Fourth Proportional to 4,334.92, 6,502.65 and 1,737.52

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Solution

The fourth proportional to 4,334.92, 6,502.65 and 1,737.52 is: 2,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.92 : 6,502.65 = 1,737.52 : x
  2. Step 2: Convert to fraction form
    4,334.92/6,502.65 = 1,737.52/x
  3. Step 3: Cross multiply
    4,334.92x = 6,502.65 × 1,737.52
  4. Step 4: Simplify right side
    4,334.92x = 11,298,484.43
  5. Step 5: Solve for x
    x = 11,298,484.43/4,334.92
  6. Step 6: Final answer
    x = 2,606.39

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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.