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Finding the Fourth Proportional to 5,627.30, 7,765.72 and 3,075.08

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Solution

The fourth proportional to 5,627.30, 7,765.72 and 3,075.08 is: 4,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.30 : 7,765.72 = 3,075.08 : x
  2. Step 2: Convert to fraction form
    5,627.30/7,765.72 = 3,075.08/x
  3. Step 3: Cross multiply
    5,627.30x = 7,765.72 × 3,075.08
  4. Step 4: Simplify right side
    5,627.30x = 23,880,221.98
  5. Step 5: Solve for x
    x = 23,880,221.98/5,627.30
  6. Step 6: Final answer
    x = 4,243.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.