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Finding the Fourth Proportional to 3,431.84, 4,735.89 and 1,859.92

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Solution

The fourth proportional to 3,431.84, 4,735.89 and 1,859.92 is: 2,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.84 : 4,735.89 = 1,859.92 : x
  2. Step 2: Convert to fraction form
    3,431.84/4,735.89 = 1,859.92/x
  3. Step 3: Cross multiply
    3,431.84x = 4,735.89 × 1,859.92
  4. Step 4: Simplify right side
    3,431.84x = 8,808,364.69
  5. Step 5: Solve for x
    x = 8,808,364.69/3,431.84
  6. Step 6: Final answer
    x = 2,566.66

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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.