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Finding the Fourth Proportional to 3,870.54, 5,342.68 and 2,378.58

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Solution

The fourth proportional to 3,870.54, 5,342.68 and 2,378.58 is: 3,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.54 : 5,342.68 = 2,378.58 : x
  2. Step 2: Convert to fraction form
    3,870.54/5,342.68 = 2,378.58/x
  3. Step 3: Cross multiply
    3,870.54x = 5,342.68 × 2,378.58
  4. Step 4: Simplify right side
    3,870.54x = 12,707,991.79
  5. Step 5: Solve for x
    x = 12,707,991.79/3,870.54
  6. Step 6: Final answer
    x = 3,283.26

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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.