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Finding the Fourth Proportional to 3,859.09, 5,783.10 and 2,397.40

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Solution

The fourth proportional to 3,859.09, 5,783.10 and 2,397.40 is: 3,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.09 : 5,783.10 = 2,397.40 : x
  2. Step 2: Convert to fraction form
    3,859.09/5,783.10 = 2,397.40/x
  3. Step 3: Cross multiply
    3,859.09x = 5,783.10 × 2,397.40
  4. Step 4: Simplify right side
    3,859.09x = 13,864,403.94
  5. Step 5: Solve for x
    x = 13,864,403.94/3,859.09
  6. Step 6: Final answer
    x = 3,592.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.