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Finding the Fourth Proportional to 5,367.78, 8,048.70 and 1,856.16

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Solution

The fourth proportional to 5,367.78, 8,048.70 and 1,856.16 is: 2,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.78 : 8,048.70 = 1,856.16 : x
  2. Step 2: Convert to fraction form
    5,367.78/8,048.70 = 1,856.16/x
  3. Step 3: Cross multiply
    5,367.78x = 8,048.70 × 1,856.16
  4. Step 4: Simplify right side
    5,367.78x = 14,939,674.99
  5. Step 5: Solve for x
    x = 14,939,674.99/5,367.78
  6. Step 6: Final answer
    x = 2,783.21

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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.