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Finding the Fourth Proportional to 4,928.70, 7,393.03 and 1,465.95

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Solution

The fourth proportional to 4,928.70, 7,393.03 and 1,465.95 is: 2,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.70 : 7,393.03 = 1,465.95 : x
  2. Step 2: Convert to fraction form
    4,928.70/7,393.03 = 1,465.95/x
  3. Step 3: Cross multiply
    4,928.70x = 7,393.03 × 1,465.95
  4. Step 4: Simplify right side
    4,928.70x = 10,837,812.33
  5. Step 5: Solve for x
    x = 10,837,812.33/4,928.70
  6. Step 6: Final answer
    x = 2,198.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.