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Finding the Fourth Proportional to 5,804.56, 8,708.13 and 2,106.71

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Solution

The fourth proportional to 5,804.56, 8,708.13 and 2,106.71 is: 3,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.56 : 8,708.13 = 2,106.71 : x
  2. Step 2: Convert to fraction form
    5,804.56/8,708.13 = 2,106.71/x
  3. Step 3: Cross multiply
    5,804.56x = 8,708.13 × 2,106.71
  4. Step 4: Simplify right side
    5,804.56x = 18,345,504.55
  5. Step 5: Solve for x
    x = 18,345,504.55/5,804.56
  6. Step 6: Final answer
    x = 3,160.53

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Why These Related Problems?

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