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Finding the Fourth Proportional to 4,465.50, 6,165 and 2,975.49

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Solution

The fourth proportional to 4,465.50, 6,165 and 2,975.49 is: 4,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.50 : 6,165 = 2,975.49 : x
  2. Step 2: Convert to fraction form
    4,465.50/6,165 = 2,975.49/x
  3. Step 3: Cross multiply
    4,465.50x = 6,165 × 2,975.49
  4. Step 4: Simplify right side
    4,465.50x = 18,343,895.85
  5. Step 5: Solve for x
    x = 18,343,895.85/4,465.50
  6. Step 6: Final answer
    x = 4,107.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.