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Finding the Fourth Proportional to 5,527.64, 7,627.37 and 3,289.61

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Solution

The fourth proportional to 5,527.64, 7,627.37 and 3,289.61 is: 4,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.64 : 7,627.37 = 3,289.61 : x
  2. Step 2: Convert to fraction form
    5,527.64/7,627.37 = 3,289.61/x
  3. Step 3: Cross multiply
    5,527.64x = 7,627.37 × 3,289.61
  4. Step 4: Simplify right side
    5,527.64x = 25,091,075.25
  5. Step 5: Solve for x
    x = 25,091,075.25/5,527.64
  6. Step 6: Final answer
    x = 4,539.20

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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.