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Finding the Fourth Proportional to 5,746.67, 7,937.07 and 4,600.85

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Solution

The fourth proportional to 5,746.67, 7,937.07 and 4,600.85 is: 6,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.67 : 7,937.07 = 4,600.85 : x
  2. Step 2: Convert to fraction form
    5,746.67/7,937.07 = 4,600.85/x
  3. Step 3: Cross multiply
    5,746.67x = 7,937.07 × 4,600.85
  4. Step 4: Simplify right side
    5,746.67x = 36,517,268.51
  5. Step 5: Solve for x
    x = 36,517,268.51/5,746.67
  6. Step 6: Final answer
    x = 6,354.51

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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.