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Finding the Fourth Proportional to 4,948.02, 7,415.24 and 1,825.02

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Solution

The fourth proportional to 4,948.02, 7,415.24 and 1,825.02 is: 2,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.02 : 7,415.24 = 1,825.02 : x
  2. Step 2: Convert to fraction form
    4,948.02/7,415.24 = 1,825.02/x
  3. Step 3: Cross multiply
    4,948.02x = 7,415.24 × 1,825.02
  4. Step 4: Simplify right side
    4,948.02x = 13,532,952.18
  5. Step 5: Solve for x
    x = 13,532,952.18/4,948.02
  6. Step 6: Final answer
    x = 2,735.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.