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Finding the Fourth Proportional to 3,428.07, 5,142.20 and 1,088.08

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Solution

The fourth proportional to 3,428.07, 5,142.20 and 1,088.08 is: 1,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.07 : 5,142.20 = 1,088.08 : x
  2. Step 2: Convert to fraction form
    3,428.07/5,142.20 = 1,088.08/x
  3. Step 3: Cross multiply
    3,428.07x = 5,142.20 × 1,088.08
  4. Step 4: Simplify right side
    3,428.07x = 5,595,124.98
  5. Step 5: Solve for x
    x = 5,595,124.98/3,428.07
  6. Step 6: Final answer
    x = 1,632.15

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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.