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Finding the Fourth Proportional to 3,431.40, 4,735.33 and 1,859.49

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Solution

The fourth proportional to 3,431.40, 4,735.33 and 1,859.49 is: 2,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.40 : 4,735.33 = 1,859.49 : x
  2. Step 2: Convert to fraction form
    3,431.40/4,735.33 = 1,859.49/x
  3. Step 3: Cross multiply
    3,431.40x = 4,735.33 × 1,859.49
  4. Step 4: Simplify right side
    3,431.40x = 8,805,294.13
  5. Step 5: Solve for x
    x = 8,805,294.13/3,431.40
  6. Step 6: Final answer
    x = 2,566.10

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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.