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Finding the Fourth Proportional to 5,673.18, 7,823.72 and 3,548.02

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Solution

The fourth proportional to 5,673.18, 7,823.72 and 3,548.02 is: 4,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.18 : 7,823.72 = 3,548.02 : x
  2. Step 2: Convert to fraction form
    5,673.18/7,823.72 = 3,548.02/x
  3. Step 3: Cross multiply
    5,673.18x = 7,823.72 × 3,548.02
  4. Step 4: Simplify right side
    5,673.18x = 27,758,715.03
  5. Step 5: Solve for x
    x = 27,758,715.03/5,673.18
  6. Step 6: Final answer
    x = 4,892.97

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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.