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Finding the Fourth Proportional to 4,095.54, 6,140.16 and 1,902.66

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Solution

The fourth proportional to 4,095.54, 6,140.16 and 1,902.66 is: 2,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.54 : 6,140.16 = 1,902.66 : x
  2. Step 2: Convert to fraction form
    4,095.54/6,140.16 = 1,902.66/x
  3. Step 3: Cross multiply
    4,095.54x = 6,140.16 × 1,902.66
  4. Step 4: Simplify right side
    4,095.54x = 11,682,636.83
  5. Step 5: Solve for x
    x = 11,682,636.83/4,095.54
  6. Step 6: Final answer
    x = 2,852.53

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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.