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Finding the Fourth Proportional to 5,970.30, 8,242.68 and 3,849.49

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Solution

The fourth proportional to 5,970.30, 8,242.68 and 3,849.49 is: 5,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.30 : 8,242.68 = 3,849.49 : x
  2. Step 2: Convert to fraction form
    5,970.30/8,242.68 = 3,849.49/x
  3. Step 3: Cross multiply
    5,970.30x = 8,242.68 × 3,849.49
  4. Step 4: Simplify right side
    5,970.30x = 31,730,114.23
  5. Step 5: Solve for x
    x = 31,730,114.23/5,970.30
  6. Step 6: Final answer
    x = 5,314.66

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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.