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Finding the Fourth Proportional to 4,343.09, 6,514.65 and 1,056.19

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Solution

The fourth proportional to 4,343.09, 6,514.65 and 1,056.19 is: 1,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.09 : 6,514.65 = 1,056.19 : x
  2. Step 2: Convert to fraction form
    4,343.09/6,514.65 = 1,056.19/x
  3. Step 3: Cross multiply
    4,343.09x = 6,514.65 × 1,056.19
  4. Step 4: Simplify right side
    4,343.09x = 6,880,707.08
  5. Step 5: Solve for x
    x = 6,880,707.08/4,343.09
  6. Step 6: Final answer
    x = 1,584.29

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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.