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Finding the Fourth Proportional to 5,184.99, 7,775.20 and 1,486.38

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Solution

The fourth proportional to 5,184.99, 7,775.20 and 1,486.38 is: 2,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.99 : 7,775.20 = 1,486.38 : x
  2. Step 2: Convert to fraction form
    5,184.99/7,775.20 = 1,486.38/x
  3. Step 3: Cross multiply
    5,184.99x = 7,775.20 × 1,486.38
  4. Step 4: Simplify right side
    5,184.99x = 11,556,898.06
  5. Step 5: Solve for x
    x = 11,556,898.06/5,184.99
  6. Step 6: Final answer
    x = 2,228.91

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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.