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Finding the Fourth Proportional to 5,054.88, 6,974.72 and 3,064.28

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Solution

The fourth proportional to 5,054.88, 6,974.72 and 3,064.28 is: 4,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.88 : 6,974.72 = 3,064.28 : x
  2. Step 2: Convert to fraction form
    5,054.88/6,974.72 = 3,064.28/x
  3. Step 3: Cross multiply
    5,054.88x = 6,974.72 × 3,064.28
  4. Step 4: Simplify right side
    5,054.88x = 21,372,444.81
  5. Step 5: Solve for x
    x = 21,372,444.81/5,054.88
  6. Step 6: Final answer
    x = 4,228.08

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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.