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Finding the Fourth Proportional to 4,205.33, 6,308.06 and 1,283.66

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Solution

The fourth proportional to 4,205.33, 6,308.06 and 1,283.66 is: 1,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.33 : 6,308.06 = 1,283.66 : x
  2. Step 2: Convert to fraction form
    4,205.33/6,308.06 = 1,283.66/x
  3. Step 3: Cross multiply
    4,205.33x = 6,308.06 × 1,283.66
  4. Step 4: Simplify right side
    4,205.33x = 8,097,404.30
  5. Step 5: Solve for x
    x = 8,097,404.30/4,205.33
  6. Step 6: Final answer
    x = 1,925.51

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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.