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Finding the Fourth Proportional to 3,846.48, 5,770.32 and 1,655.22

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Solution

The fourth proportional to 3,846.48, 5,770.32 and 1,655.22 is: 2,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.48 : 5,770.32 = 1,655.22 : x
  2. Step 2: Convert to fraction form
    3,846.48/5,770.32 = 1,655.22/x
  3. Step 3: Cross multiply
    3,846.48x = 5,770.32 × 1,655.22
  4. Step 4: Simplify right side
    3,846.48x = 9,551,149.07
  5. Step 5: Solve for x
    x = 9,551,149.07/3,846.48
  6. Step 6: Final answer
    x = 2,483.09

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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.