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Finding the Fourth Proportional to 5,336.64, 7,364.78 and 2,978.72

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Solution

The fourth proportional to 5,336.64, 7,364.78 and 2,978.72 is: 4,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.64 : 7,364.78 = 2,978.72 : x
  2. Step 2: Convert to fraction form
    5,336.64/7,364.78 = 2,978.72/x
  3. Step 3: Cross multiply
    5,336.64x = 7,364.78 × 2,978.72
  4. Step 4: Simplify right side
    5,336.64x = 21,937,617.48
  5. Step 5: Solve for x
    x = 21,937,617.48/5,336.64
  6. Step 6: Final answer
    x = 4,110.75

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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.