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Finding the Fourth Proportional to 4,343.32, 6,514.94 and 1,056.40

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Solution

The fourth proportional to 4,343.32, 6,514.94 and 1,056.40 is: 1,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.32 : 6,514.94 = 1,056.40 : x
  2. Step 2: Convert to fraction form
    4,343.32/6,514.94 = 1,056.40/x
  3. Step 3: Cross multiply
    4,343.32x = 6,514.94 × 1,056.40
  4. Step 4: Simplify right side
    4,343.32x = 6,882,382.62
  5. Step 5: Solve for x
    x = 6,882,382.62/4,343.32
  6. Step 6: Final answer
    x = 1,584.59

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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.