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Finding the Fourth Proportional to 5,363.06, 7,401 and 3,005.21

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Solution

The fourth proportional to 5,363.06, 7,401 and 3,005.21 is: 4,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.06 : 7,401 = 3,005.21 : x
  2. Step 2: Convert to fraction form
    5,363.06/7,401 = 3,005.21/x
  3. Step 3: Cross multiply
    5,363.06x = 7,401 × 3,005.21
  4. Step 4: Simplify right side
    5,363.06x = 22,241,559.21
  5. Step 5: Solve for x
    x = 22,241,559.21/5,363.06
  6. Step 6: Final answer
    x = 4,147.18

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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.