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Finding the Fourth Proportional to 5,303.83, 7,939.32 and 4,516.51

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Solution

The fourth proportional to 5,303.83, 7,939.32 and 4,516.51 is: 6,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.83 : 7,939.32 = 4,516.51 : x
  2. Step 2: Convert to fraction form
    5,303.83/7,939.32 = 4,516.51/x
  3. Step 3: Cross multiply
    5,303.83x = 7,939.32 × 4,516.51
  4. Step 4: Simplify right side
    5,303.83x = 35,858,018.17
  5. Step 5: Solve for x
    x = 35,858,018.17/5,303.83
  6. Step 6: Final answer
    x = 6,760.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.