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Finding the Fourth Proportional to 5,197.66, 7,792.05 and 1,910.18

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Solution

The fourth proportional to 5,197.66, 7,792.05 and 1,910.18 is: 2,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.66 : 7,792.05 = 1,910.18 : x
  2. Step 2: Convert to fraction form
    5,197.66/7,792.05 = 1,910.18/x
  3. Step 3: Cross multiply
    5,197.66x = 7,792.05 × 1,910.18
  4. Step 4: Simplify right side
    5,197.66x = 14,884,218.07
  5. Step 5: Solve for x
    x = 14,884,218.07/5,197.66
  6. Step 6: Final answer
    x = 2,863.64

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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.