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Finding the Fourth Proportional to 4,113.54, 5,676.93 and 3,117.24

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Solution

The fourth proportional to 4,113.54, 5,676.93 and 3,117.24 is: 4,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.54 : 5,676.93 = 3,117.24 : x
  2. Step 2: Convert to fraction form
    4,113.54/5,676.93 = 3,117.24/x
  3. Step 3: Cross multiply
    4,113.54x = 5,676.93 × 3,117.24
  4. Step 4: Simplify right side
    4,113.54x = 17,696,353.27
  5. Step 5: Solve for x
    x = 17,696,353.27/4,113.54
  6. Step 6: Final answer
    x = 4,301.98

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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.