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Finding the Fourth Proportional to 5,465.34, 8,194.48 and 2,999.50

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Solution

The fourth proportional to 5,465.34, 8,194.48 and 2,999.50 is: 4,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.34 : 8,194.48 = 2,999.50 : x
  2. Step 2: Convert to fraction form
    5,465.34/8,194.48 = 2,999.50/x
  3. Step 3: Cross multiply
    5,465.34x = 8,194.48 × 2,999.50
  4. Step 4: Simplify right side
    5,465.34x = 24,579,314.78
  5. Step 5: Solve for x
    x = 24,579,314.78/5,465.34
  6. Step 6: Final answer
    x = 4,497.31

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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.