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Finding the Fourth Proportional to 4,959.02, 7,436.78 and 1,448.06

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Solution

The fourth proportional to 4,959.02, 7,436.78 and 1,448.06 is: 2,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.02 : 7,436.78 = 1,448.06 : x
  2. Step 2: Convert to fraction form
    4,959.02/7,436.78 = 1,448.06/x
  3. Step 3: Cross multiply
    4,959.02x = 7,436.78 × 1,448.06
  4. Step 4: Simplify right side
    4,959.02x = 10,768,903.65
  5. Step 5: Solve for x
    x = 10,768,903.65/4,959.02
  6. Step 6: Final answer
    x = 2,171.58

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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.