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Finding the Fourth Proportional to 5,976, 8,246.88 and 3,492

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Solution

The fourth proportional to 5,976, 8,246.88 and 3,492 is: 4,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 8,246.88 = 3,492 : x
  2. Step 2: Convert to fraction form
    5,976/8,246.88 = 3,492/x
  3. Step 3: Cross multiply
    5,976x = 8,246.88 × 3,492
  4. Step 4: Simplify right side
    5,976x = 28,798,104.96
  5. Step 5: Solve for x
    x = 28,798,104.96/5,976
  6. Step 6: Final answer
    x = 4,818.96

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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.