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Finding the Fourth Proportional to 3,657.42, 5,486.26 and 1,024.92

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Solution

The fourth proportional to 3,657.42, 5,486.26 and 1,024.92 is: 1,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.42 : 5,486.26 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    3,657.42/5,486.26 = 1,024.92/x
  3. Step 3: Cross multiply
    3,657.42x = 5,486.26 × 1,024.92
  4. Step 4: Simplify right side
    3,657.42x = 5,622,977.60
  5. Step 5: Solve for x
    x = 5,622,977.60/3,657.42
  6. Step 6: Final answer
    x = 1,537.42

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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.