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Finding the Fourth Proportional to 5,700.04, 8,550.96 and 1,804.14

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Solution

The fourth proportional to 5,700.04, 8,550.96 and 1,804.14 is: 2,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.04 : 8,550.96 = 1,804.14 : x
  2. Step 2: Convert to fraction form
    5,700.04/8,550.96 = 1,804.14/x
  3. Step 3: Cross multiply
    5,700.04x = 8,550.96 × 1,804.14
  4. Step 4: Simplify right side
    5,700.04x = 15,427,128.97
  5. Step 5: Solve for x
    x = 15,427,128.97/5,700.04
  6. Step 6: Final answer
    x = 2,706.49

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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.