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Finding the Fourth Proportional to 5,774.81, 8,659.92 and 2,075.90

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Solution

The fourth proportional to 5,774.81, 8,659.92 and 2,075.90 is: 3,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.81 : 8,659.92 = 2,075.90 : x
  2. Step 2: Convert to fraction form
    5,774.81/8,659.92 = 2,075.90/x
  3. Step 3: Cross multiply
    5,774.81x = 8,659.92 × 2,075.90
  4. Step 4: Simplify right side
    5,774.81x = 17,977,127.93
  5. Step 5: Solve for x
    x = 17,977,127.93/5,774.81
  6. Step 6: Final answer
    x = 3,113.03

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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.