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Finding the Fourth Proportional to 3,838.85, 5,297.31 and 2,159.93

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Solution

The fourth proportional to 3,838.85, 5,297.31 and 2,159.93 is: 2,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.85 : 5,297.31 = 2,159.93 : x
  2. Step 2: Convert to fraction form
    3,838.85/5,297.31 = 2,159.93/x
  3. Step 3: Cross multiply
    3,838.85x = 5,297.31 × 2,159.93
  4. Step 4: Simplify right side
    3,838.85x = 11,441,818.79
  5. Step 5: Solve for x
    x = 11,441,818.79/3,838.85
  6. Step 6: Final answer
    x = 2,980.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.