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Finding the Fourth Proportional to 5,962.94, 8,225.12 and 3,841.22

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Solution

The fourth proportional to 5,962.94, 8,225.12 and 3,841.22 is: 5,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.94 : 8,225.12 = 3,841.22 : x
  2. Step 2: Convert to fraction form
    5,962.94/8,225.12 = 3,841.22/x
  3. Step 3: Cross multiply
    5,962.94x = 8,225.12 × 3,841.22
  4. Step 4: Simplify right side
    5,962.94x = 31,594,495.45
  5. Step 5: Solve for x
    x = 31,594,495.45/5,962.94
  6. Step 6: Final answer
    x = 5,298.48

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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.