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Finding the Fourth Proportional to 5,364.14, 7,402.92 and 3,376.40

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Solution

The fourth proportional to 5,364.14, 7,402.92 and 3,376.40 is: 4,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.14 : 7,402.92 = 3,376.40 : x
  2. Step 2: Convert to fraction form
    5,364.14/7,402.92 = 3,376.40/x
  3. Step 3: Cross multiply
    5,364.14x = 7,402.92 × 3,376.40
  4. Step 4: Simplify right side
    5,364.14x = 24,995,182.07
  5. Step 5: Solve for x
    x = 24,995,182.07/5,364.14
  6. Step 6: Final answer
    x = 4,659.69

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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.