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Finding the Fourth Proportional to 4,692.92, 6,478.80 and 3,203.06

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Solution

The fourth proportional to 4,692.92, 6,478.80 and 3,203.06 is: 4,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.92 : 6,478.80 = 3,203.06 : x
  2. Step 2: Convert to fraction form
    4,692.92/6,478.80 = 3,203.06/x
  3. Step 3: Cross multiply
    4,692.92x = 6,478.80 × 3,203.06
  4. Step 4: Simplify right side
    4,692.92x = 20,751,985.13
  5. Step 5: Solve for x
    x = 20,751,985.13/4,692.92
  6. Step 6: Final answer
    x = 4,421.98

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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.