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Finding the Fourth Proportional to 6,470.64, 8,924.34 and 4,199.50

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Solution

The fourth proportional to 6,470.64, 8,924.34 and 4,199.50 is: 5,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.64 : 8,924.34 = 4,199.50 : x
  2. Step 2: Convert to fraction form
    6,470.64/8,924.34 = 4,199.50/x
  3. Step 3: Cross multiply
    6,470.64x = 8,924.34 × 4,199.50
  4. Step 4: Simplify right side
    6,470.64x = 37,477,765.83
  5. Step 5: Solve for x
    x = 37,477,765.83/6,470.64
  6. Step 6: Final answer
    x = 5,791.97

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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.