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Finding the Fourth Proportional to 5,206.41, 7,803 and 3,748.41

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Solution

The fourth proportional to 5,206.41, 7,803 and 3,748.41 is: 5,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.41 : 7,803 = 3,748.41 : x
  2. Step 2: Convert to fraction form
    5,206.41/7,803 = 3,748.41/x
  3. Step 3: Cross multiply
    5,206.41x = 7,803 × 3,748.41
  4. Step 4: Simplify right side
    5,206.41x = 29,248,843.23
  5. Step 5: Solve for x
    x = 29,248,843.23/5,206.41
  6. Step 6: Final answer
    x = 5,617.85

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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.