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Finding the Fourth Proportional to 4,812.24, 7,219.80 and 1,525.80

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Solution

The fourth proportional to 4,812.24, 7,219.80 and 1,525.80 is: 2,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.24 : 7,219.80 = 1,525.80 : x
  2. Step 2: Convert to fraction form
    4,812.24/7,219.80 = 1,525.80/x
  3. Step 3: Cross multiply
    4,812.24x = 7,219.80 × 1,525.80
  4. Step 4: Simplify right side
    4,812.24x = 11,015,970.84
  5. Step 5: Solve for x
    x = 11,015,970.84/4,812.24
  6. Step 6: Final answer
    x = 2,289.16

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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.