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Finding the Fourth Proportional to 3,431.45, 4,735.43 and 1,859.57

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Solution

The fourth proportional to 3,431.45, 4,735.43 and 1,859.57 is: 2,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.45 : 4,735.43 = 1,859.57 : x
  2. Step 2: Convert to fraction form
    3,431.45/4,735.43 = 1,859.57/x
  3. Step 3: Cross multiply
    3,431.45x = 4,735.43 × 1,859.57
  4. Step 4: Simplify right side
    3,431.45x = 8,805,830.59
  5. Step 5: Solve for x
    x = 8,805,830.59/3,431.45
  6. Step 6: Final answer
    x = 2,566.22

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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.