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Finding the Fourth Proportional to 4,802.60, 7,200.40 and 3,238.72

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Solution

The fourth proportional to 4,802.60, 7,200.40 and 3,238.72 is: 4,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.60 : 7,200.40 = 3,238.72 : x
  2. Step 2: Convert to fraction form
    4,802.60/7,200.40 = 3,238.72/x
  3. Step 3: Cross multiply
    4,802.60x = 7,200.40 × 3,238.72
  4. Step 4: Simplify right side
    4,802.60x = 23,320,091.63
  5. Step 5: Solve for x
    x = 23,320,091.63/4,802.60
  6. Step 6: Final answer
    x = 4,855.72

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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.