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Finding the Fourth Proportional to 3,616.80, 5,425.20 and 3,071.40

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Solution

The fourth proportional to 3,616.80, 5,425.20 and 3,071.40 is: 4,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.80 : 5,425.20 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    3,616.80/5,425.20 = 3,071.40/x
  3. Step 3: Cross multiply
    3,616.80x = 5,425.20 × 3,071.40
  4. Step 4: Simplify right side
    3,616.80x = 16,662,959.28
  5. Step 5: Solve for x
    x = 16,662,959.28/3,616.80
  6. Step 6: Final answer
    x = 4,607.10

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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.