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Finding the Fourth Proportional to 3,813.76, 5,714.76 and 1,867.30

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Solution

The fourth proportional to 3,813.76, 5,714.76 and 1,867.30 is: 2,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.76 : 5,714.76 = 1,867.30 : x
  2. Step 2: Convert to fraction form
    3,813.76/5,714.76 = 1,867.30/x
  3. Step 3: Cross multiply
    3,813.76x = 5,714.76 × 1,867.30
  4. Step 4: Simplify right side
    3,813.76x = 10,671,171.35
  5. Step 5: Solve for x
    x = 10,671,171.35/3,813.76
  6. Step 6: Final answer
    x = 2,798.07

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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.