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Finding the Fourth Proportional to 3,431.42, 4,735.34 and 1,859.51

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Solution

The fourth proportional to 3,431.42, 4,735.34 and 1,859.51 is: 2,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.42 : 4,735.34 = 1,859.51 : x
  2. Step 2: Convert to fraction form
    3,431.42/4,735.34 = 1,859.51/x
  3. Step 3: Cross multiply
    3,431.42x = 4,735.34 × 1,859.51
  4. Step 4: Simplify right side
    3,431.42x = 8,805,379.11
  5. Step 5: Solve for x
    x = 8,805,379.11/3,431.42
  6. Step 6: Final answer
    x = 2,566.11

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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.