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Finding the Fourth Proportional to 4,802.56, 7,208.40 and 2,338.72

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Solution

The fourth proportional to 4,802.56, 7,208.40 and 2,338.72 is: 3,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.56 : 7,208.40 = 2,338.72 : x
  2. Step 2: Convert to fraction form
    4,802.56/7,208.40 = 2,338.72/x
  3. Step 3: Cross multiply
    4,802.56x = 7,208.40 × 2,338.72
  4. Step 4: Simplify right side
    4,802.56x = 16,858,429.25
  5. Step 5: Solve for x
    x = 16,858,429.25/4,802.56
  6. Step 6: Final answer
    x = 3,510.30

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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.