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Finding the Fourth Proportional to 3,780.34, 5,215.46 and 2,788

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Solution

The fourth proportional to 3,780.34, 5,215.46 and 2,788 is: 3,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.34 : 5,215.46 = 2,788 : x
  2. Step 2: Convert to fraction form
    3,780.34/5,215.46 = 2,788/x
  3. Step 3: Cross multiply
    3,780.34x = 5,215.46 × 2,788
  4. Step 4: Simplify right side
    3,780.34x = 14,540,702.48
  5. Step 5: Solve for x
    x = 14,540,702.48/3,780.34
  6. Step 6: Final answer
    x = 3,846.40

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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.