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Finding the Fourth Proportional to 6,406.52, 8,845.08 and 5,230.40

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Solution

The fourth proportional to 6,406.52, 8,845.08 and 5,230.40 is: 7,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.52 : 8,845.08 = 5,230.40 : x
  2. Step 2: Convert to fraction form
    6,406.52/8,845.08 = 5,230.40/x
  3. Step 3: Cross multiply
    6,406.52x = 8,845.08 × 5,230.40
  4. Step 4: Simplify right side
    6,406.52x = 46,263,306.43
  5. Step 5: Solve for x
    x = 46,263,306.43/6,406.52
  6. Step 6: Final answer
    x = 7,221.28

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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.