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Finding the Fourth Proportional to 5,746.88, 7,935.37 and 4,684.79

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Solution

The fourth proportional to 5,746.88, 7,935.37 and 4,684.79 is: 6,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.88 : 7,935.37 = 4,684.79 : x
  2. Step 2: Convert to fraction form
    5,746.88/7,935.37 = 4,684.79/x
  3. Step 3: Cross multiply
    5,746.88x = 7,935.37 × 4,684.79
  4. Step 4: Simplify right side
    5,746.88x = 37,175,550.15
  5. Step 5: Solve for x
    x = 37,175,550.15/5,746.88
  6. Step 6: Final answer
    x = 6,468.82

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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.