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Finding the Fourth Proportional to 3,184.65, 4,394.97 and 1,858.23

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Solution

The fourth proportional to 3,184.65, 4,394.97 and 1,858.23 is: 2,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.65 : 4,394.97 = 1,858.23 : x
  2. Step 2: Convert to fraction form
    3,184.65/4,394.97 = 1,858.23/x
  3. Step 3: Cross multiply
    3,184.65x = 4,394.97 × 1,858.23
  4. Step 4: Simplify right side
    3,184.65x = 8,166,865.10
  5. Step 5: Solve for x
    x = 8,166,865.10/3,184.65
  6. Step 6: Final answer
    x = 2,564.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.