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Finding the Fourth Proportional to 4,817.35, 6,643.49 and 3,698.33

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Solution

The fourth proportional to 4,817.35, 6,643.49 and 3,698.33 is: 5,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.35 : 6,643.49 = 3,698.33 : x
  2. Step 2: Convert to fraction form
    4,817.35/6,643.49 = 3,698.33/x
  3. Step 3: Cross multiply
    4,817.35x = 6,643.49 × 3,698.33
  4. Step 4: Simplify right side
    4,817.35x = 24,569,818.37
  5. Step 5: Solve for x
    x = 24,569,818.37/4,817.35
  6. Step 6: Final answer
    x = 5,100.28

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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.