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Finding the Fourth Proportional to 5,708.09, 8,560.65 and 2,419.49

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Solution

The fourth proportional to 5,708.09, 8,560.65 and 2,419.49 is: 3,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.09 : 8,560.65 = 2,419.49 : x
  2. Step 2: Convert to fraction form
    5,708.09/8,560.65 = 2,419.49/x
  3. Step 3: Cross multiply
    5,708.09x = 8,560.65 × 2,419.49
  4. Step 4: Simplify right side
    5,708.09x = 20,712,407.07
  5. Step 5: Solve for x
    x = 20,712,407.07/5,708.09
  6. Step 6: Final answer
    x = 3,628.61

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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.