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Finding the Fourth Proportional to 5,380.51, 8,069.83 and 1,484

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Solution

The fourth proportional to 5,380.51, 8,069.83 and 1,484 is: 2,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.51 : 8,069.83 = 1,484 : x
  2. Step 2: Convert to fraction form
    5,380.51/8,069.83 = 1,484/x
  3. Step 3: Cross multiply
    5,380.51x = 8,069.83 × 1,484
  4. Step 4: Simplify right side
    5,380.51x = 11,975,627.72
  5. Step 5: Solve for x
    x = 11,975,627.72/5,380.51
  6. Step 6: Final answer
    x = 2,225.74

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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.