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Finding the Fourth Proportional to 4,106.89, 6,160.32 and 1,028.89

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Solution

The fourth proportional to 4,106.89, 6,160.32 and 1,028.89 is: 1,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.89 : 6,160.32 = 1,028.89 : x
  2. Step 2: Convert to fraction form
    4,106.89/6,160.32 = 1,028.89/x
  3. Step 3: Cross multiply
    4,106.89x = 6,160.32 × 1,028.89
  4. Step 4: Simplify right side
    4,106.89x = 6,338,291.64
  5. Step 5: Solve for x
    x = 6,338,291.64/4,106.89
  6. Step 6: Final answer
    x = 1,543.33

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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.