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Finding the Fourth Proportional to 3,870.94, 5,343.86 and 2,456.07

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Solution

The fourth proportional to 3,870.94, 5,343.86 and 2,456.07 is: 3,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.94 : 5,343.86 = 2,456.07 : x
  2. Step 2: Convert to fraction form
    3,870.94/5,343.86 = 2,456.07/x
  3. Step 3: Cross multiply
    3,870.94x = 5,343.86 × 2,456.07
  4. Step 4: Simplify right side
    3,870.94x = 13,124,855.23
  5. Step 5: Solve for x
    x = 13,124,855.23/3,870.94
  6. Step 6: Final answer
    x = 3,390.62

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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.