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Finding the Fourth Proportional to 5,685.54, 7,848.46 and 3,823.62

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Solution

The fourth proportional to 5,685.54, 7,848.46 and 3,823.62 is: 5,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.54 : 7,848.46 = 3,823.62 : x
  2. Step 2: Convert to fraction form
    5,685.54/7,848.46 = 3,823.62/x
  3. Step 3: Cross multiply
    5,685.54x = 7,848.46 × 3,823.62
  4. Step 4: Simplify right side
    5,685.54x = 30,009,528.63
  5. Step 5: Solve for x
    x = 30,009,528.63/5,685.54
  6. Step 6: Final answer
    x = 5,278.22

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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.