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Finding the Fourth Proportional to 6,405.60, 8,840.70 and 4,636.56

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Solution

The fourth proportional to 6,405.60, 8,840.70 and 4,636.56 is: 6,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.60 : 8,840.70 = 4,636.56 : x
  2. Step 2: Convert to fraction form
    6,405.60/8,840.70 = 4,636.56/x
  3. Step 3: Cross multiply
    6,405.60x = 8,840.70 × 4,636.56
  4. Step 4: Simplify right side
    6,405.60x = 40,990,435.99
  5. Step 5: Solve for x
    x = 40,990,435.99/6,405.60
  6. Step 6: Final answer
    x = 6,399.16

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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.