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Finding the Fourth Proportional to 5,182.95, 7,772.09 and 1,484.33

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Solution

The fourth proportional to 5,182.95, 7,772.09 and 1,484.33 is: 2,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.95 : 7,772.09 = 1,484.33 : x
  2. Step 2: Convert to fraction form
    5,182.95/7,772.09 = 1,484.33/x
  3. Step 3: Cross multiply
    5,182.95x = 7,772.09 × 1,484.33
  4. Step 4: Simplify right side
    5,182.95x = 11,536,358.36
  5. Step 5: Solve for x
    x = 11,536,358.36/5,182.95
  6. Step 6: Final answer
    x = 2,225.83

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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.