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Finding the Fourth Proportional to 5,654.41, 7,806.98 and 4,325.81

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Solution

The fourth proportional to 5,654.41, 7,806.98 and 4,325.81 is: 5,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.41 : 7,806.98 = 4,325.81 : x
  2. Step 2: Convert to fraction form
    5,654.41/7,806.98 = 4,325.81/x
  3. Step 3: Cross multiply
    5,654.41x = 7,806.98 × 4,325.81
  4. Step 4: Simplify right side
    5,654.41x = 33,771,483.93
  5. Step 5: Solve for x
    x = 33,771,483.93/5,654.41
  6. Step 6: Final answer
    x = 5,972.59

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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.