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Finding the Fourth Proportional to 5,804.28, 8,709.88 and 2,106.80

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Solution

The fourth proportional to 5,804.28, 8,709.88 and 2,106.80 is: 3,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.28 : 8,709.88 = 2,106.80 : x
  2. Step 2: Convert to fraction form
    5,804.28/8,709.88 = 2,106.80/x
  3. Step 3: Cross multiply
    5,804.28x = 8,709.88 × 2,106.80
  4. Step 4: Simplify right side
    5,804.28x = 18,349,959.03
  5. Step 5: Solve for x
    x = 18,349,959.03/5,804.28
  6. Step 6: Final answer
    x = 3,161.45

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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.