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Finding the Fourth Proportional to 3,670.34, 5,063.74 and 2,412.08

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Solution

The fourth proportional to 3,670.34, 5,063.74 and 2,412.08 is: 3,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.34 : 5,063.74 = 2,412.08 : x
  2. Step 2: Convert to fraction form
    3,670.34/5,063.74 = 2,412.08/x
  3. Step 3: Cross multiply
    3,670.34x = 5,063.74 × 2,412.08
  4. Step 4: Simplify right side
    3,670.34x = 12,214,140.40
  5. Step 5: Solve for x
    x = 12,214,140.40/3,670.34
  6. Step 6: Final answer
    x = 3,327.80

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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.