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Finding the Fourth Proportional to 4,986.74, 7,480.20 and 1,289

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Solution

The fourth proportional to 4,986.74, 7,480.20 and 1,289 is: 1,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.74 : 7,480.20 = 1,289 : x
  2. Step 2: Convert to fraction form
    4,986.74/7,480.20 = 1,289/x
  3. Step 3: Cross multiply
    4,986.74x = 7,480.20 × 1,289
  4. Step 4: Simplify right side
    4,986.74x = 9,641,977.80
  5. Step 5: Solve for x
    x = 9,641,977.80/4,986.74
  6. Step 6: Final answer
    x = 1,933.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.