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Finding the Fourth Proportional to 5,911.63, 8,152.99 and 4,215.89

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Solution

The fourth proportional to 5,911.63, 8,152.99 and 4,215.89 is: 5,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.63 : 8,152.99 = 4,215.89 : x
  2. Step 2: Convert to fraction form
    5,911.63/8,152.99 = 4,215.89/x
  3. Step 3: Cross multiply
    5,911.63x = 8,152.99 × 4,215.89
  4. Step 4: Simplify right side
    5,911.63x = 34,372,118.85
  5. Step 5: Solve for x
    x = 34,372,118.85/5,911.63
  6. Step 6: Final answer
    x = 5,814.32

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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.