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Finding the Fourth Proportional to 5,197.96, 7,803.42 and 3,461.32

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Solution

The fourth proportional to 5,197.96, 7,803.42 and 3,461.32 is: 5,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.96 : 7,803.42 = 3,461.32 : x
  2. Step 2: Convert to fraction form
    5,197.96/7,803.42 = 3,461.32/x
  3. Step 3: Cross multiply
    5,197.96x = 7,803.42 × 3,461.32
  4. Step 4: Simplify right side
    5,197.96x = 27,010,133.71
  5. Step 5: Solve for x
    x = 27,010,133.71/5,197.96
  6. Step 6: Final answer
    x = 5,196.30

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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.