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Finding the Fourth Proportional to 5,651.68, 7,798.59 and 3,133.77

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Solution

The fourth proportional to 5,651.68, 7,798.59 and 3,133.77 is: 4,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.68 : 7,798.59 = 3,133.77 : x
  2. Step 2: Convert to fraction form
    5,651.68/7,798.59 = 3,133.77/x
  3. Step 3: Cross multiply
    5,651.68x = 7,798.59 × 3,133.77
  4. Step 4: Simplify right side
    5,651.68x = 24,438,967.89
  5. Step 5: Solve for x
    x = 24,438,967.89/5,651.68
  6. Step 6: Final answer
    x = 4,324.19

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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.