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Finding the Fourth Proportional to 3,431.64, 4,735.68 and 1,859.74

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Solution

The fourth proportional to 3,431.64, 4,735.68 and 1,859.74 is: 2,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.64 : 4,735.68 = 1,859.74 : x
  2. Step 2: Convert to fraction form
    3,431.64/4,735.68 = 1,859.74/x
  3. Step 3: Cross multiply
    3,431.64x = 4,735.68 × 1,859.74
  4. Step 4: Simplify right side
    3,431.64x = 8,807,121.68
  5. Step 5: Solve for x
    x = 8,807,121.68/3,431.64
  6. Step 6: Final answer
    x = 2,566.45

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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.