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Finding the Fourth Proportional to 5,054.08, 6,974.40 and 2,960

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Solution

The fourth proportional to 5,054.08, 6,974.40 and 2,960 is: 4,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.08 : 6,974.40 = 2,960 : x
  2. Step 2: Convert to fraction form
    5,054.08/6,974.40 = 2,960/x
  3. Step 3: Cross multiply
    5,054.08x = 6,974.40 × 2,960
  4. Step 4: Simplify right side
    5,054.08x = 20,644,224
  5. Step 5: Solve for x
    x = 20,644,224/5,054.08
  6. Step 6: Final answer
    x = 4,084.67

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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.