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Finding the Fourth Proportional to 4,907.59, 6,774.98 and 3,786.01

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Solution

The fourth proportional to 4,907.59, 6,774.98 and 3,786.01 is: 5,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.59 : 6,774.98 = 3,786.01 : x
  2. Step 2: Convert to fraction form
    4,907.59/6,774.98 = 3,786.01/x
  3. Step 3: Cross multiply
    4,907.59x = 6,774.98 × 3,786.01
  4. Step 4: Simplify right side
    4,907.59x = 25,650,151.49
  5. Step 5: Solve for x
    x = 25,650,151.49/4,907.59
  6. Step 6: Final answer
    x = 5,226.63

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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.