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Finding the Fourth Proportional to 4,228.69, 6,343.62 and 1,307.21

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Solution

The fourth proportional to 4,228.69, 6,343.62 and 1,307.21 is: 1,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.69 : 6,343.62 = 1,307.21 : x
  2. Step 2: Convert to fraction form
    4,228.69/6,343.62 = 1,307.21/x
  3. Step 3: Cross multiply
    4,228.69x = 6,343.62 × 1,307.21
  4. Step 4: Simplify right side
    4,228.69x = 8,292,443.50
  5. Step 5: Solve for x
    x = 8,292,443.50/4,228.69
  6. Step 6: Final answer
    x = 1,961.00

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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.