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Finding the Fourth Proportional to 5,088.42, 7,632.54 and 2,010.42

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Solution

The fourth proportional to 5,088.42, 7,632.54 and 2,010.42 is: 3,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.42 : 7,632.54 = 2,010.42 : x
  2. Step 2: Convert to fraction form
    5,088.42/7,632.54 = 2,010.42/x
  3. Step 3: Cross multiply
    5,088.42x = 7,632.54 × 2,010.42
  4. Step 4: Simplify right side
    5,088.42x = 15,344,611.07
  5. Step 5: Solve for x
    x = 15,344,611.07/5,088.42
  6. Step 6: Final answer
    x = 3,015.59

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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.