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Finding the Fourth Proportional to 5,202.44, 7,803.08 and 1,306.86

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Solution

The fourth proportional to 5,202.44, 7,803.08 and 1,306.86 is: 1,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.44 : 7,803.08 = 1,306.86 : x
  2. Step 2: Convert to fraction form
    5,202.44/7,803.08 = 1,306.86/x
  3. Step 3: Cross multiply
    5,202.44x = 7,803.08 × 1,306.86
  4. Step 4: Simplify right side
    5,202.44x = 10,197,533.13
  5. Step 5: Solve for x
    x = 10,197,533.13/5,202.44
  6. Step 6: Final answer
    x = 1,960.14

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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.