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Finding the Fourth Proportional to 3,542.39, 4,886.00 and 3,069.44

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Solution

The fourth proportional to 3,542.39, 4,886.00 and 3,069.44 is: 4,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.39 : 4,886.00 = 3,069.44 : x
  2. Step 2: Convert to fraction form
    3,542.39/4,886.00 = 3,069.44/x
  3. Step 3: Cross multiply
    3,542.39x = 4,886.00 × 3,069.44
  4. Step 4: Simplify right side
    3,542.39x = 14,997,303.73
  5. Step 5: Solve for x
    x = 14,997,303.73/3,542.39
  6. Step 6: Final answer
    x = 4,233.67

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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.