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Finding the Fourth Proportional to 5,584.45, 8,378.06 and 2,075.45

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Solution

The fourth proportional to 5,584.45, 8,378.06 and 2,075.45 is: 3,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.45 : 8,378.06 = 2,075.45 : x
  2. Step 2: Convert to fraction form
    5,584.45/8,378.06 = 2,075.45/x
  3. Step 3: Cross multiply
    5,584.45x = 8,378.06 × 2,075.45
  4. Step 4: Simplify right side
    5,584.45x = 17,388,244.63
  5. Step 5: Solve for x
    x = 17,388,244.63/5,584.45
  6. Step 6: Final answer
    x = 3,113.69

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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.