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Finding the Fourth Proportional to 5,202.38, 7,803.63 and 1,739.63

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Solution

The fourth proportional to 5,202.38, 7,803.63 and 1,739.63 is: 2,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.38 : 7,803.63 = 1,739.63 : x
  2. Step 2: Convert to fraction form
    5,202.38/7,803.63 = 1,739.63/x
  3. Step 3: Cross multiply
    5,202.38x = 7,803.63 × 1,739.63
  4. Step 4: Simplify right side
    5,202.38x = 13,575,389.84
  5. Step 5: Solve for x
    x = 13,575,389.84/5,202.38
  6. Step 6: Final answer
    x = 2,609.46

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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.