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Finding the Fourth Proportional to 3,378.60, 4,678.02 and 3,313.80

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Solution

The fourth proportional to 3,378.60, 4,678.02 and 3,313.80 is: 4,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.60 : 4,678.02 = 3,313.80 : x
  2. Step 2: Convert to fraction form
    3,378.60/4,678.02 = 3,313.80/x
  3. Step 3: Cross multiply
    3,378.60x = 4,678.02 × 3,313.80
  4. Step 4: Simplify right side
    3,378.60x = 15,502,022.68
  5. Step 5: Solve for x
    x = 15,502,022.68/3,378.60
  6. Step 6: Final answer
    x = 4,588.30

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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.