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Finding the Fourth Proportional to 4,740.36, 6,538.74 and 3,411.96

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Solution

The fourth proportional to 4,740.36, 6,538.74 and 3,411.96 is: 4,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.36 : 6,538.74 = 3,411.96 : x
  2. Step 2: Convert to fraction form
    4,740.36/6,538.74 = 3,411.96/x
  3. Step 3: Cross multiply
    4,740.36x = 6,538.74 × 3,411.96
  4. Step 4: Simplify right side
    4,740.36x = 22,309,919.33
  5. Step 5: Solve for x
    x = 22,309,919.33/4,740.36
  6. Step 6: Final answer
    x = 4,706.38

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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.