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Finding the Fourth Proportional to 3,745.77, 5,618.61 and 972.20

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Solution

The fourth proportional to 3,745.77, 5,618.61 and 972.20 is: 1,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.77 : 5,618.61 = 972.20 : x
  2. Step 2: Convert to fraction form
    3,745.77/5,618.61 = 972.20/x
  3. Step 3: Cross multiply
    3,745.77x = 5,618.61 × 972.20
  4. Step 4: Simplify right side
    3,745.77x = 5,462,384.55
  5. Step 5: Solve for x
    x = 5,462,384.55/3,745.77
  6. Step 6: Final answer
    x = 1,458.28

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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.