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Finding the Fourth Proportional to 5,247.96, 7,830.83 and 4,696.35

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Solution

The fourth proportional to 5,247.96, 7,830.83 and 4,696.35 is: 7,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.96 : 7,830.83 = 4,696.35 : x
  2. Step 2: Convert to fraction form
    5,247.96/7,830.83 = 4,696.35/x
  3. Step 3: Cross multiply
    5,247.96x = 7,830.83 × 4,696.35
  4. Step 4: Simplify right side
    5,247.96x = 36,776,326.31
  5. Step 5: Solve for x
    x = 36,776,326.31/5,247.96
  6. Step 6: Final answer
    x = 7,007.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.