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Finding the Fourth Proportional to 5,154.05, 7,727.71 and 3,393.72

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Solution

The fourth proportional to 5,154.05, 7,727.71 and 3,393.72 is: 5,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.05 : 7,727.71 = 3,393.72 : x
  2. Step 2: Convert to fraction form
    5,154.05/7,727.71 = 3,393.72/x
  3. Step 3: Cross multiply
    5,154.05x = 7,727.71 × 3,393.72
  4. Step 4: Simplify right side
    5,154.05x = 26,225,675.50
  5. Step 5: Solve for x
    x = 26,225,675.50/5,154.05
  6. Step 6: Final answer
    x = 5,088.37

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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.