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Finding the Fourth Proportional to 3,764.64, 5,194.08 and 2,366.40

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Solution

The fourth proportional to 3,764.64, 5,194.08 and 2,366.40 is: 3,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.64 : 5,194.08 = 2,366.40 : x
  2. Step 2: Convert to fraction form
    3,764.64/5,194.08 = 2,366.40/x
  3. Step 3: Cross multiply
    3,764.64x = 5,194.08 × 2,366.40
  4. Step 4: Simplify right side
    3,764.64x = 12,291,270.91
  5. Step 5: Solve for x
    x = 12,291,270.91/3,764.64
  6. Step 6: Final answer
    x = 3,264.93

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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.