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Finding the Fourth Proportional to 3,859.57, 5,323.84 and 2,459.89

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Solution

The fourth proportional to 3,859.57, 5,323.84 and 2,459.89 is: 3,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.57 : 5,323.84 = 2,459.89 : x
  2. Step 2: Convert to fraction form
    3,859.57/5,323.84 = 2,459.89/x
  3. Step 3: Cross multiply
    3,859.57x = 5,323.84 × 2,459.89
  4. Step 4: Simplify right side
    3,859.57x = 13,096,060.78
  5. Step 5: Solve for x
    x = 13,096,060.78/3,859.57
  6. Step 6: Final answer
    x = 3,393.14

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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.