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Finding the Fourth Proportional to 4,698.44, 7,048.19 and 1,578.66

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Solution

The fourth proportional to 4,698.44, 7,048.19 and 1,578.66 is: 2,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.44 : 7,048.19 = 1,578.66 : x
  2. Step 2: Convert to fraction form
    4,698.44/7,048.19 = 1,578.66/x
  3. Step 3: Cross multiply
    4,698.44x = 7,048.19 × 1,578.66
  4. Step 4: Simplify right side
    4,698.44x = 11,126,687.73
  5. Step 5: Solve for x
    x = 11,126,687.73/4,698.44
  6. Step 6: Final answer
    x = 2,368.17

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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.