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Finding the Fourth Proportional to 5,893.59, 8,133 and 3,204.74

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Solution

The fourth proportional to 5,893.59, 8,133 and 3,204.74 is: 4,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.59 : 8,133 = 3,204.74 : x
  2. Step 2: Convert to fraction form
    5,893.59/8,133 = 3,204.74/x
  3. Step 3: Cross multiply
    5,893.59x = 8,133 × 3,204.74
  4. Step 4: Simplify right side
    5,893.59x = 26,064,109.76
  5. Step 5: Solve for x
    x = 26,064,109.76/5,893.59
  6. Step 6: Final answer
    x = 4,422.45

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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.