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Finding the Fourth Proportional to 5,093.83, 7,637.91 and 1,760.41

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Solution

The fourth proportional to 5,093.83, 7,637.91 and 1,760.41 is: 2,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.83 : 7,637.91 = 1,760.41 : x
  2. Step 2: Convert to fraction form
    5,093.83/7,637.91 = 1,760.41/x
  3. Step 3: Cross multiply
    5,093.83x = 7,637.91 × 1,760.41
  4. Step 4: Simplify right side
    5,093.83x = 13,445,853.14
  5. Step 5: Solve for x
    x = 13,445,853.14/5,093.83
  6. Step 6: Final answer
    x = 2,639.64

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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.