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Finding the Fourth Proportional to 5,746.78, 7,934.22 and 4,485.61

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Solution

The fourth proportional to 5,746.78, 7,934.22 and 4,485.61 is: 6,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.78 : 7,934.22 = 4,485.61 : x
  2. Step 2: Convert to fraction form
    5,746.78/7,934.22 = 4,485.61/x
  3. Step 3: Cross multiply
    5,746.78x = 7,934.22 × 4,485.61
  4. Step 4: Simplify right side
    5,746.78x = 35,589,816.57
  5. Step 5: Solve for x
    x = 35,589,816.57/5,746.78
  6. Step 6: Final answer
    x = 6,193.00

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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.