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Finding the Fourth Proportional to 4,195.90, 6,292.87 and 1,854.63

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Solution

The fourth proportional to 4,195.90, 6,292.87 and 1,854.63 is: 2,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.90 : 6,292.87 = 1,854.63 : x
  2. Step 2: Convert to fraction form
    4,195.90/6,292.87 = 1,854.63/x
  3. Step 3: Cross multiply
    4,195.90x = 6,292.87 × 1,854.63
  4. Step 4: Simplify right side
    4,195.90x = 11,670,924.21
  5. Step 5: Solve for x
    x = 11,670,924.21/4,195.90
  6. Step 6: Final answer
    x = 2,781.51

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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.