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Finding the Fourth Proportional to 5,654.07, 7,802.33 and 3,885.84

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Solution

The fourth proportional to 5,654.07, 7,802.33 and 3,885.84 is: 5,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.07 : 7,802.33 = 3,885.84 : x
  2. Step 2: Convert to fraction form
    5,654.07/7,802.33 = 3,885.84/x
  3. Step 3: Cross multiply
    5,654.07x = 7,802.33 × 3,885.84
  4. Step 4: Simplify right side
    5,654.07x = 30,318,586.58
  5. Step 5: Solve for x
    x = 30,318,586.58/5,654.07
  6. Step 6: Final answer
    x = 5,362.26

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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.