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Finding the Fourth Proportional to 3,549.22, 4,897.74 and 1,977.40

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Solution

The fourth proportional to 3,549.22, 4,897.74 and 1,977.40 is: 2,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.22 : 4,897.74 = 1,977.40 : x
  2. Step 2: Convert to fraction form
    3,549.22/4,897.74 = 1,977.40/x
  3. Step 3: Cross multiply
    3,549.22x = 4,897.74 × 1,977.40
  4. Step 4: Simplify right side
    3,549.22x = 9,684,791.08
  5. Step 5: Solve for x
    x = 9,684,791.08/3,549.22
  6. Step 6: Final answer
    x = 2,728.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.