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Finding the Fourth Proportional to 3,668.75, 5,492.63 and 3,435.98

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Solution

The fourth proportional to 3,668.75, 5,492.63 and 3,435.98 is: 5,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.75 : 5,492.63 = 3,435.98 : x
  2. Step 2: Convert to fraction form
    3,668.75/5,492.63 = 3,435.98/x
  3. Step 3: Cross multiply
    3,668.75x = 5,492.63 × 3,435.98
  4. Step 4: Simplify right side
    3,668.75x = 18,872,566.83
  5. Step 5: Solve for x
    x = 18,872,566.83/3,668.75
  6. Step 6: Final answer
    x = 5,144.14

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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.