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Finding the Fourth Proportional to 3,745.54, 5,621.10 and 1,407.70

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Solution

The fourth proportional to 3,745.54, 5,621.10 and 1,407.70 is: 2,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.54 : 5,621.10 = 1,407.70 : x
  2. Step 2: Convert to fraction form
    3,745.54/5,621.10 = 1,407.70/x
  3. Step 3: Cross multiply
    3,745.54x = 5,621.10 × 1,407.70
  4. Step 4: Simplify right side
    3,745.54x = 7,912,822.47
  5. Step 5: Solve for x
    x = 7,912,822.47/3,745.54
  6. Step 6: Final answer
    x = 2,112.60

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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.