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Finding the Fourth Proportional to 5,774.47, 8,659.56 and 2,075.69

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Solution

The fourth proportional to 5,774.47, 8,659.56 and 2,075.69 is: 3,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.47 : 8,659.56 = 2,075.69 : x
  2. Step 2: Convert to fraction form
    5,774.47/8,659.56 = 2,075.69/x
  3. Step 3: Cross multiply
    5,774.47x = 8,659.56 × 2,075.69
  4. Step 4: Simplify right side
    5,774.47x = 17,974,562.10
  5. Step 5: Solve for x
    x = 17,974,562.10/5,774.47
  6. Step 6: Final answer
    x = 3,112.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.