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Finding the Fourth Proportional to 5,243.78, 7,874.03 and 3,054.10

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Solution

The fourth proportional to 5,243.78, 7,874.03 and 3,054.10 is: 4,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.78 : 7,874.03 = 3,054.10 : x
  2. Step 2: Convert to fraction form
    5,243.78/7,874.03 = 3,054.10/x
  3. Step 3: Cross multiply
    5,243.78x = 7,874.03 × 3,054.10
  4. Step 4: Simplify right side
    5,243.78x = 24,048,075.02
  5. Step 5: Solve for x
    x = 24,048,075.02/5,243.78
  6. Step 6: Final answer
    x = 4,586.02

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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.