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Finding the Fourth Proportional to 4,842.02, 7,263.84 and 1,920.36

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Solution

The fourth proportional to 4,842.02, 7,263.84 and 1,920.36 is: 2,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.02 : 7,263.84 = 1,920.36 : x
  2. Step 2: Convert to fraction form
    4,842.02/7,263.84 = 1,920.36/x
  3. Step 3: Cross multiply
    4,842.02x = 7,263.84 × 1,920.36
  4. Step 4: Simplify right side
    4,842.02x = 13,949,187.78
  5. Step 5: Solve for x
    x = 13,949,187.78/4,842.02
  6. Step 6: Final answer
    x = 2,880.86

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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.