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Finding the Fourth Proportional to 3,739.84, 5,602.44 and 2,275.36

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Solution

The fourth proportional to 3,739.84, 5,602.44 and 2,275.36 is: 3,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.84 : 5,602.44 = 2,275.36 : x
  2. Step 2: Convert to fraction form
    3,739.84/5,602.44 = 2,275.36/x
  3. Step 3: Cross multiply
    3,739.84x = 5,602.44 × 2,275.36
  4. Step 4: Simplify right side
    3,739.84x = 12,747,567.88
  5. Step 5: Solve for x
    x = 12,747,567.88/3,739.84
  6. Step 6: Final answer
    x = 3,408.59

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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.