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Finding the Fourth Proportional to 5,295, 7,300.46 and 3,403.26

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Solution

The fourth proportional to 5,295, 7,300.46 and 3,403.26 is: 4,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295 : 7,300.46 = 3,403.26 : x
  2. Step 2: Convert to fraction form
    5,295/7,300.46 = 3,403.26/x
  3. Step 3: Cross multiply
    5,295x = 7,300.46 × 3,403.26
  4. Step 4: Simplify right side
    5,295x = 24,845,363.50
  5. Step 5: Solve for x
    x = 24,845,363.50/5,295
  6. Step 6: Final answer
    x = 4,692.23

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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.