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Finding the Fourth Proportional to 3,970.92, 5,955.16 and 2,746.20

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Solution

The fourth proportional to 3,970.92, 5,955.16 and 2,746.20 is: 4,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.92 : 5,955.16 = 2,746.20 : x
  2. Step 2: Convert to fraction form
    3,970.92/5,955.16 = 2,746.20/x
  3. Step 3: Cross multiply
    3,970.92x = 5,955.16 × 2,746.20
  4. Step 4: Simplify right side
    3,970.92x = 16,354,060.39
  5. Step 5: Solve for x
    x = 16,354,060.39/3,970.92
  6. Step 6: Final answer
    x = 4,118.46

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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.