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Finding the Fourth Proportional to 5,574.24, 7,692.48 and 3,090.24

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Solution

The fourth proportional to 5,574.24, 7,692.48 and 3,090.24 is: 4,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.24 : 7,692.48 = 3,090.24 : x
  2. Step 2: Convert to fraction form
    5,574.24/7,692.48 = 3,090.24/x
  3. Step 3: Cross multiply
    5,574.24x = 7,692.48 × 3,090.24
  4. Step 4: Simplify right side
    5,574.24x = 23,771,609.40
  5. Step 5: Solve for x
    x = 23,771,609.40/5,574.24
  6. Step 6: Final answer
    x = 4,264.55

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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.