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Finding the Fourth Proportional to 3,457.92, 4,772.61 and 2,409.38

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Solution

The fourth proportional to 3,457.92, 4,772.61 and 2,409.38 is: 3,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.92 : 4,772.61 = 2,409.38 : x
  2. Step 2: Convert to fraction form
    3,457.92/4,772.61 = 2,409.38/x
  3. Step 3: Cross multiply
    3,457.92x = 4,772.61 × 2,409.38
  4. Step 4: Simplify right side
    3,457.92x = 11,499,007.22
  5. Step 5: Solve for x
    x = 11,499,007.22/3,457.92
  6. Step 6: Final answer
    x = 3,325.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.