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Finding the Fourth Proportional to 5,700.60, 8,550.05 and 1,804.50

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Solution

The fourth proportional to 5,700.60, 8,550.05 and 1,804.50 is: 2,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.60 : 8,550.05 = 1,804.50 : x
  2. Step 2: Convert to fraction form
    5,700.60/8,550.05 = 1,804.50/x
  3. Step 3: Cross multiply
    5,700.60x = 8,550.05 × 1,804.50
  4. Step 4: Simplify right side
    5,700.60x = 15,428,556.20
  5. Step 5: Solve for x
    x = 15,428,556.20/5,700.60
  6. Step 6: Final answer
    x = 2,706.48

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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.