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Finding the Fourth Proportional to 4,928.40, 6,806.04 and 4,216.20

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Solution

The fourth proportional to 4,928.40, 6,806.04 and 4,216.20 is: 5,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.40 : 6,806.04 = 4,216.20 : x
  2. Step 2: Convert to fraction form
    4,928.40/6,806.04 = 4,216.20/x
  3. Step 3: Cross multiply
    4,928.40x = 6,806.04 × 4,216.20
  4. Step 4: Simplify right side
    4,928.40x = 28,695,625.85
  5. Step 5: Solve for x
    x = 28,695,625.85/4,928.40
  6. Step 6: Final answer
    x = 5,822.50

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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.