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Finding the Fourth Proportional to 5,774.14, 8,660.42 and 2,075.86

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Solution

The fourth proportional to 5,774.14, 8,660.42 and 2,075.86 is: 3,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.14 : 8,660.42 = 2,075.86 : x
  2. Step 2: Convert to fraction form
    5,774.14/8,660.42 = 2,075.86/x
  3. Step 3: Cross multiply
    5,774.14x = 8,660.42 × 2,075.86
  4. Step 4: Simplify right side
    5,774.14x = 17,977,765.78
  5. Step 5: Solve for x
    x = 17,977,765.78/5,774.14
  6. Step 6: Final answer
    x = 3,113.50

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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.