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Finding the Fourth Proportional to 5,827.84, 8,042.24 and 3,344.64

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Solution

The fourth proportional to 5,827.84, 8,042.24 and 3,344.64 is: 4,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.84 : 8,042.24 = 3,344.64 : x
  2. Step 2: Convert to fraction form
    5,827.84/8,042.24 = 3,344.64/x
  3. Step 3: Cross multiply
    5,827.84x = 8,042.24 × 3,344.64
  4. Step 4: Simplify right side
    5,827.84x = 26,898,397.59
  5. Step 5: Solve for x
    x = 26,898,397.59/5,827.84
  6. Step 6: Final answer
    x = 4,615.50

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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.