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Finding the Fourth Proportional to 4,286.52, 6,430 and 1,208.76

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Solution

The fourth proportional to 4,286.52, 6,430 and 1,208.76 is: 1,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.52 : 6,430 = 1,208.76 : x
  2. Step 2: Convert to fraction form
    4,286.52/6,430 = 1,208.76/x
  3. Step 3: Cross multiply
    4,286.52x = 6,430 × 1,208.76
  4. Step 4: Simplify right side
    4,286.52x = 7,772,326.80
  5. Step 5: Solve for x
    x = 7,772,326.80/4,286.52
  6. Step 6: Final answer
    x = 1,813.20

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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.