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Finding the Fourth Proportional to 4,564.41, 6,839.65 and 2,804.82

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Solution

The fourth proportional to 4,564.41, 6,839.65 and 2,804.82 is: 4,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.41 : 6,839.65 = 2,804.82 : x
  2. Step 2: Convert to fraction form
    4,564.41/6,839.65 = 2,804.82/x
  3. Step 3: Cross multiply
    4,564.41x = 6,839.65 × 2,804.82
  4. Step 4: Simplify right side
    4,564.41x = 19,183,987.11
  5. Step 5: Solve for x
    x = 19,183,987.11/4,564.41
  6. Step 6: Final answer
    x = 4,202.95

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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.