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Finding the Fourth Proportional to 4,310.32, 6,465.32 and 1,232.32

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Solution

The fourth proportional to 4,310.32, 6,465.32 and 1,232.32 is: 1,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.32 : 6,465.32 = 1,232.32 : x
  2. Step 2: Convert to fraction form
    4,310.32/6,465.32 = 1,232.32/x
  3. Step 3: Cross multiply
    4,310.32x = 6,465.32 × 1,232.32
  4. Step 4: Simplify right side
    4,310.32x = 7,967,343.14
  5. Step 5: Solve for x
    x = 7,967,343.14/4,310.32
  6. Step 6: Final answer
    x = 1,848.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.