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Finding the Fourth Proportional to 5,364.05, 7,401.99 and 3,005.74

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Solution

The fourth proportional to 5,364.05, 7,401.99 and 3,005.74 is: 4,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.05 : 7,401.99 = 3,005.74 : x
  2. Step 2: Convert to fraction form
    5,364.05/7,401.99 = 3,005.74/x
  3. Step 3: Cross multiply
    5,364.05x = 7,401.99 × 3,005.74
  4. Step 4: Simplify right side
    5,364.05x = 22,248,405.38
  5. Step 5: Solve for x
    x = 22,248,405.38/5,364.05
  6. Step 6: Final answer
    x = 4,147.69

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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.