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Finding the Fourth Proportional to 5,527.61, 7,628.16 and 3,009.75

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Solution

The fourth proportional to 5,527.61, 7,628.16 and 3,009.75 is: 4,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.61 : 7,628.16 = 3,009.75 : x
  2. Step 2: Convert to fraction form
    5,527.61/7,628.16 = 3,009.75/x
  3. Step 3: Cross multiply
    5,527.61x = 7,628.16 × 3,009.75
  4. Step 4: Simplify right side
    5,527.61x = 22,958,854.56
  5. Step 5: Solve for x
    x = 22,958,854.56/5,527.61
  6. Step 6: Final answer
    x = 4,153.49

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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.