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Finding the Fourth Proportional to 5,853.20, 8,777.86 and 2,929.50

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Solution

The fourth proportional to 5,853.20, 8,777.86 and 2,929.50 is: 4,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.20 : 8,777.86 = 2,929.50 : x
  2. Step 2: Convert to fraction form
    5,853.20/8,777.86 = 2,929.50/x
  3. Step 3: Cross multiply
    5,853.20x = 8,777.86 × 2,929.50
  4. Step 4: Simplify right side
    5,853.20x = 25,714,733.55
  5. Step 5: Solve for x
    x = 25,714,733.55/5,853.20
  6. Step 6: Final answer
    x = 4,393.28

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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.