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Finding the Fourth Proportional to 3,203.04, 4,771.71 and 3,085.49

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Solution

The fourth proportional to 3,203.04, 4,771.71 and 3,085.49 is: 4,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.04 : 4,771.71 = 3,085.49 : x
  2. Step 2: Convert to fraction form
    3,203.04/4,771.71 = 3,085.49/x
  3. Step 3: Cross multiply
    3,203.04x = 4,771.71 × 3,085.49
  4. Step 4: Simplify right side
    3,203.04x = 14,723,075.42
  5. Step 5: Solve for x
    x = 14,723,075.42/3,203.04
  6. Step 6: Final answer
    x = 4,596.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.