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Finding the Fourth Proportional to 6,859.60, 10,289.40 and 3,403.60

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Solution

The fourth proportional to 6,859.60, 10,289.40 and 3,403.60 is: 5,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.60 : 10,289.40 = 3,403.60 : x
  2. Step 2: Convert to fraction form
    6,859.60/10,289.40 = 3,403.60/x
  3. Step 3: Cross multiply
    6,859.60x = 10,289.40 × 3,403.60
  4. Step 4: Simplify right side
    6,859.60x = 35,021,001.84
  5. Step 5: Solve for x
    x = 35,021,001.84/6,859.60
  6. Step 6: Final answer
    x = 5,105.40

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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.