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Finding the Fourth Proportional to 4,805.84, 6,641.08 and 3,624.80

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Solution

The fourth proportional to 4,805.84, 6,641.08 and 3,624.80 is: 5,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.84 : 6,641.08 = 3,624.80 : x
  2. Step 2: Convert to fraction form
    4,805.84/6,641.08 = 3,624.80/x
  3. Step 3: Cross multiply
    4,805.84x = 6,641.08 × 3,624.80
  4. Step 4: Simplify right side
    4,805.84x = 24,072,586.78
  5. Step 5: Solve for x
    x = 24,072,586.78/4,805.84
  6. Step 6: Final answer
    x = 5,009.03

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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.