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Finding the Fourth Proportional to 4,677.69, 7,016.53 and 1,390.78

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Solution

The fourth proportional to 4,677.69, 7,016.53 and 1,390.78 is: 2,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.69 : 7,016.53 = 1,390.78 : x
  2. Step 2: Convert to fraction form
    4,677.69/7,016.53 = 1,390.78/x
  3. Step 3: Cross multiply
    4,677.69x = 7,016.53 × 1,390.78
  4. Step 4: Simplify right side
    4,677.69x = 9,758,449.59
  5. Step 5: Solve for x
    x = 9,758,449.59/4,677.69
  6. Step 6: Final answer
    x = 2,086.17

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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.