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Finding the Fourth Proportional to 5,894.61, 8,133.54 and 3,342.24

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Solution

The fourth proportional to 5,894.61, 8,133.54 and 3,342.24 is: 4,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.61 : 8,133.54 = 3,342.24 : x
  2. Step 2: Convert to fraction form
    5,894.61/8,133.54 = 3,342.24/x
  3. Step 3: Cross multiply
    5,894.61x = 8,133.54 × 3,342.24
  4. Step 4: Simplify right side
    5,894.61x = 27,184,242.73
  5. Step 5: Solve for x
    x = 27,184,242.73/5,894.61
  6. Step 6: Final answer
    x = 4,611.71

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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.