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Finding the Fourth Proportional to 4,257.83, 6,386.78 and 1,484.50

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Solution

The fourth proportional to 4,257.83, 6,386.78 and 1,484.50 is: 2,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.83 : 6,386.78 = 1,484.50 : x
  2. Step 2: Convert to fraction form
    4,257.83/6,386.78 = 1,484.50/x
  3. Step 3: Cross multiply
    4,257.83x = 6,386.78 × 1,484.50
  4. Step 4: Simplify right side
    4,257.83x = 9,481,135.55
  5. Step 5: Solve for x
    x = 9,481,135.55/4,257.83
  6. Step 6: Final answer
    x = 2,226.75

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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.