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Finding the Fourth Proportional to 4,473.90, 6,740.69 and 4,119.66

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Solution

The fourth proportional to 4,473.90, 6,740.69 and 4,119.66 is: 6,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.90 : 6,740.69 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    4,473.90/6,740.69 = 4,119.66/x
  3. Step 3: Cross multiply
    4,473.90x = 6,740.69 × 4,119.66
  4. Step 4: Simplify right side
    4,473.90x = 27,769,330.37
  5. Step 5: Solve for x
    x = 27,769,330.37/4,473.90
  6. Step 6: Final answer
    x = 6,206.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.