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Finding the Fourth Proportional to 3,431.16, 4,735.04 and 1,859.27

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Solution

The fourth proportional to 3,431.16, 4,735.04 and 1,859.27 is: 2,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.16 : 4,735.04 = 1,859.27 : x
  2. Step 2: Convert to fraction form
    3,431.16/4,735.04 = 1,859.27/x
  3. Step 3: Cross multiply
    3,431.16x = 4,735.04 × 1,859.27
  4. Step 4: Simplify right side
    3,431.16x = 8,803,684.85
  5. Step 5: Solve for x
    x = 8,803,684.85/3,431.16
  6. Step 6: Final answer
    x = 2,565.80

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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.