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Finding the Fourth Proportional to 5,510.38, 8,265.56 and 1,406.38

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Solution

The fourth proportional to 5,510.38, 8,265.56 and 1,406.38 is: 2,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.38 : 8,265.56 = 1,406.38 : x
  2. Step 2: Convert to fraction form
    5,510.38/8,265.56 = 1,406.38/x
  3. Step 3: Cross multiply
    5,510.38x = 8,265.56 × 1,406.38
  4. Step 4: Simplify right side
    5,510.38x = 11,624,518.27
  5. Step 5: Solve for x
    x = 11,624,518.27/5,510.38
  6. Step 6: Final answer
    x = 2,109.57

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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.