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Finding the Fourth Proportional to 5,346.37, 7,378.19 and 2,956.47

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Solution

The fourth proportional to 5,346.37, 7,378.19 and 2,956.47 is: 4,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.37 : 7,378.19 = 2,956.47 : x
  2. Step 2: Convert to fraction form
    5,346.37/7,378.19 = 2,956.47/x
  3. Step 3: Cross multiply
    5,346.37x = 7,378.19 × 2,956.47
  4. Step 4: Simplify right side
    5,346.37x = 21,813,366.03
  5. Step 5: Solve for x
    x = 21,813,366.03/5,346.37
  6. Step 6: Final answer
    x = 4,080.03

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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.