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Finding the Fourth Proportional to 5,336.94, 7,364.62 and 2,946.81

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Solution

The fourth proportional to 5,336.94, 7,364.62 and 2,946.81 is: 4,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.94 : 7,364.62 = 2,946.81 : x
  2. Step 2: Convert to fraction form
    5,336.94/7,364.62 = 2,946.81/x
  3. Step 3: Cross multiply
    5,336.94x = 7,364.62 × 2,946.81
  4. Step 4: Simplify right side
    5,336.94x = 21,702,135.86
  5. Step 5: Solve for x
    x = 21,702,135.86/5,336.94
  6. Step 6: Final answer
    x = 4,066.40

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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.