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Finding the Fourth Proportional to 5,970.90, 8,241.14 and 3,734.24

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Solution

The fourth proportional to 5,970.90, 8,241.14 and 3,734.24 is: 5,154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.90 : 8,241.14 = 3,734.24 : x
  2. Step 2: Convert to fraction form
    5,970.90/8,241.14 = 3,734.24/x
  3. Step 3: Cross multiply
    5,970.90x = 8,241.14 × 3,734.24
  4. Step 4: Simplify right side
    5,970.90x = 30,774,362.76
  5. Step 5: Solve for x
    x = 30,774,362.76/5,970.90
  6. Step 6: Final answer
    x = 5,154.06

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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.