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Finding the Fourth Proportional to 6,405, 8,840.52 and 3,612.12

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Solution

The fourth proportional to 6,405, 8,840.52 and 3,612.12 is: 4,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 8,840.52 = 3,612.12 : x
  2. Step 2: Convert to fraction form
    6,405/8,840.52 = 3,612.12/x
  3. Step 3: Cross multiply
    6,405x = 8,840.52 × 3,612.12
  4. Step 4: Simplify right side
    6,405x = 31,933,019.10
  5. Step 5: Solve for x
    x = 31,933,019.10/6,405
  6. Step 6: Final answer
    x = 4,985.64

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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.