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Finding the Fourth Proportional to 6,409.40, 8,845.26 and 4,281.20

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Solution

The fourth proportional to 6,409.40, 8,845.26 and 4,281.20 is: 5,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.40 : 8,845.26 = 4,281.20 : x
  2. Step 2: Convert to fraction form
    6,409.40/8,845.26 = 4,281.20/x
  3. Step 3: Cross multiply
    6,409.40x = 8,845.26 × 4,281.20
  4. Step 4: Simplify right side
    6,409.40x = 37,868,327.11
  5. Step 5: Solve for x
    x = 37,868,327.11/6,409.40
  6. Step 6: Final answer
    x = 5,908.25

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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.