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Finding the Fourth Proportional to 5,054.54, 6,975.08 and 2,816.30

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Solution

The fourth proportional to 5,054.54, 6,975.08 and 2,816.30 is: 3,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.54 : 6,975.08 = 2,816.30 : x
  2. Step 2: Convert to fraction form
    5,054.54/6,975.08 = 2,816.30/x
  3. Step 3: Cross multiply
    5,054.54x = 6,975.08 × 2,816.30
  4. Step 4: Simplify right side
    5,054.54x = 19,643,868.85
  5. Step 5: Solve for x
    x = 19,643,868.85/5,054.54
  6. Step 6: Final answer
    x = 3,886.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.