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Finding the Fourth Proportional to 4,470.93, 6,707.61 and 3,180.60

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Solution

The fourth proportional to 4,470.93, 6,707.61 and 3,180.60 is: 4,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.93 : 6,707.61 = 3,180.60 : x
  2. Step 2: Convert to fraction form
    4,470.93/6,707.61 = 3,180.60/x
  3. Step 3: Cross multiply
    4,470.93x = 6,707.61 × 3,180.60
  4. Step 4: Simplify right side
    4,470.93x = 21,334,224.37
  5. Step 5: Solve for x
    x = 21,334,224.37/4,470.93
  6. Step 6: Final answer
    x = 4,771.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.