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Finding the Fourth Proportional to 3,861.60, 5,328.08 and 2,290.08

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Solution

The fourth proportional to 3,861.60, 5,328.08 and 2,290.08 is: 3,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.60 : 5,328.08 = 2,290.08 : x
  2. Step 2: Convert to fraction form
    3,861.60/5,328.08 = 2,290.08/x
  3. Step 3: Cross multiply
    3,861.60x = 5,328.08 × 2,290.08
  4. Step 4: Simplify right side
    3,861.60x = 12,201,729.45
  5. Step 5: Solve for x
    x = 12,201,729.45/3,861.60
  6. Step 6: Final answer
    x = 3,159.76

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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.