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Finding the Fourth Proportional to 4,835, 6,675.52 and 3,713.94

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Solution

The fourth proportional to 4,835, 6,675.52 and 3,713.94 is: 5,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835 : 6,675.52 = 3,713.94 : x
  2. Step 2: Convert to fraction form
    4,835/6,675.52 = 3,713.94/x
  3. Step 3: Cross multiply
    4,835x = 6,675.52 × 3,713.94
  4. Step 4: Simplify right side
    4,835x = 24,792,480.75
  5. Step 5: Solve for x
    x = 24,792,480.75/4,835
  6. Step 6: Final answer
    x = 5,127.71

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Why These Related Problems?

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