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Finding the Fourth Proportional to 4,668.57, 7,002.87 and 3,203.28

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Solution

The fourth proportional to 4,668.57, 7,002.87 and 3,203.28 is: 4,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.57 : 7,002.87 = 3,203.28 : x
  2. Step 2: Convert to fraction form
    4,668.57/7,002.87 = 3,203.28/x
  3. Step 3: Cross multiply
    4,668.57x = 7,002.87 × 3,203.28
  4. Step 4: Simplify right side
    4,668.57x = 22,432,153.41
  5. Step 5: Solve for x
    x = 22,432,153.41/4,668.57
  6. Step 6: Final answer
    x = 4,804.93

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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.