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Finding the Fourth Proportional to 4,613.06, 6,914.36 and 4,056.69

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Solution

The fourth proportional to 4,613.06, 6,914.36 and 4,056.69 is: 6,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.06 : 6,914.36 = 4,056.69 : x
  2. Step 2: Convert to fraction form
    4,613.06/6,914.36 = 4,056.69/x
  3. Step 3: Cross multiply
    4,613.06x = 6,914.36 × 4,056.69
  4. Step 4: Simplify right side
    4,613.06x = 28,049,415.07
  5. Step 5: Solve for x
    x = 28,049,415.07/4,613.06
  6. Step 6: Final answer
    x = 6,080.44

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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.