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Finding the Fourth Proportional to 5,292.82, 7,300.77 and 3,406.85

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Solution

The fourth proportional to 5,292.82, 7,300.77 and 3,406.85 is: 4,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.82 : 7,300.77 = 3,406.85 : x
  2. Step 2: Convert to fraction form
    5,292.82/7,300.77 = 3,406.85/x
  3. Step 3: Cross multiply
    5,292.82x = 7,300.77 × 3,406.85
  4. Step 4: Simplify right side
    5,292.82x = 24,872,606.37
  5. Step 5: Solve for x
    x = 24,872,606.37/5,292.82
  6. Step 6: Final answer
    x = 4,699.31

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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.