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Finding the Fourth Proportional to 4,156.63, 5,703.86 and 3,780.74

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Solution

The fourth proportional to 4,156.63, 5,703.86 and 3,780.74 is: 5,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.63 : 5,703.86 = 3,780.74 : x
  2. Step 2: Convert to fraction form
    4,156.63/5,703.86 = 3,780.74/x
  3. Step 3: Cross multiply
    4,156.63x = 5,703.86 × 3,780.74
  4. Step 4: Simplify right side
    4,156.63x = 21,564,835.37
  5. Step 5: Solve for x
    x = 21,564,835.37/4,156.63
  6. Step 6: Final answer
    x = 5,188.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.