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Finding the Fourth Proportional to 5,255.92, 7,884.14 and 1,746.24

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Solution

The fourth proportional to 5,255.92, 7,884.14 and 1,746.24 is: 2,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.92 : 7,884.14 = 1,746.24 : x
  2. Step 2: Convert to fraction form
    5,255.92/7,884.14 = 1,746.24/x
  3. Step 3: Cross multiply
    5,255.92x = 7,884.14 × 1,746.24
  4. Step 4: Simplify right side
    5,255.92x = 13,767,600.63
  5. Step 5: Solve for x
    x = 13,767,600.63/5,255.92
  6. Step 6: Final answer
    x = 2,619.45

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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.