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Finding the Fourth Proportional to 5,746.86, 7,930.68 and 3,389.04

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Solution

The fourth proportional to 5,746.86, 7,930.68 and 3,389.04 is: 4,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.86 : 7,930.68 = 3,389.04 : x
  2. Step 2: Convert to fraction form
    5,746.86/7,930.68 = 3,389.04/x
  3. Step 3: Cross multiply
    5,746.86x = 7,930.68 × 3,389.04
  4. Step 4: Simplify right side
    5,746.86x = 26,877,391.75
  5. Step 5: Solve for x
    x = 26,877,391.75/5,746.86
  6. Step 6: Final answer
    x = 4,676.88

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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.