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Finding the Fourth Proportional to 3,746.92, 5,614.23 and 1,280.40

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Solution

The fourth proportional to 3,746.92, 5,614.23 and 1,280.40 is: 1,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.92 : 5,614.23 = 1,280.40 : x
  2. Step 2: Convert to fraction form
    3,746.92/5,614.23 = 1,280.40/x
  3. Step 3: Cross multiply
    3,746.92x = 5,614.23 × 1,280.40
  4. Step 4: Simplify right side
    3,746.92x = 7,188,460.09
  5. Step 5: Solve for x
    x = 7,188,460.09/3,746.92
  6. Step 6: Final answer
    x = 1,918.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.