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Finding the Fourth Proportional to 4,286.52, 6,430.30 and 1,208.52

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Solution

The fourth proportional to 4,286.52, 6,430.30 and 1,208.52 is: 1,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.52 : 6,430.30 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    4,286.52/6,430.30 = 1,208.52/x
  3. Step 3: Cross multiply
    4,286.52x = 6,430.30 × 1,208.52
  4. Step 4: Simplify right side
    4,286.52x = 7,771,146.16
  5. Step 5: Solve for x
    x = 7,771,146.16/4,286.52
  6. Step 6: Final answer
    x = 1,812.93

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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.