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Finding the Fourth Proportional to 5,804.54, 8,708.12 and 2,106.76

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Solution

The fourth proportional to 5,804.54, 8,708.12 and 2,106.76 is: 3,160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.54 : 8,708.12 = 2,106.76 : x
  2. Step 2: Convert to fraction form
    5,804.54/8,708.12 = 2,106.76/x
  3. Step 3: Cross multiply
    5,804.54x = 8,708.12 × 2,106.76
  4. Step 4: Simplify right side
    5,804.54x = 18,345,918.89
  5. Step 5: Solve for x
    x = 18,345,918.89/5,804.54
  6. Step 6: Final answer
    x = 3,160.62

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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.