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Finding the Fourth Proportional to 4,809.84, 6,646.60 and 3,628.80

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Solution

The fourth proportional to 4,809.84, 6,646.60 and 3,628.80 is: 5,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.84 : 6,646.60 = 3,628.80 : x
  2. Step 2: Convert to fraction form
    4,809.84/6,646.60 = 3,628.80/x
  3. Step 3: Cross multiply
    4,809.84x = 6,646.60 × 3,628.80
  4. Step 4: Simplify right side
    4,809.84x = 24,119,182.08
  5. Step 5: Solve for x
    x = 24,119,182.08/4,809.84
  6. Step 6: Final answer
    x = 5,014.55

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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.