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Finding the Fourth Proportional to 5,841.84, 8,764.24 and 1,946.32

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Solution

The fourth proportional to 5,841.84, 8,764.24 and 1,946.32 is: 2,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.84 : 8,764.24 = 1,946.32 : x
  2. Step 2: Convert to fraction form
    5,841.84/8,764.24 = 1,946.32/x
  3. Step 3: Cross multiply
    5,841.84x = 8,764.24 × 1,946.32
  4. Step 4: Simplify right side
    5,841.84x = 17,058,015.60
  5. Step 5: Solve for x
    x = 17,058,015.60/5,841.84
  6. Step 6: Final answer
    x = 2,919.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.