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Finding the Fourth Proportional to 5,363.72, 7,401.91 and 3,005.86

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Solution

The fourth proportional to 5,363.72, 7,401.91 and 3,005.86 is: 4,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.72 : 7,401.91 = 3,005.86 : x
  2. Step 2: Convert to fraction form
    5,363.72/7,401.91 = 3,005.86/x
  3. Step 3: Cross multiply
    5,363.72x = 7,401.91 × 3,005.86
  4. Step 4: Simplify right side
    5,363.72x = 22,249,053.15
  5. Step 5: Solve for x
    x = 22,249,053.15/5,363.72
  6. Step 6: Final answer
    x = 4,148.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.