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Finding the Fourth Proportional to 4,097.26, 6,104.66 and 4,056.29

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Solution

The fourth proportional to 4,097.26, 6,104.66 and 4,056.29 is: 6,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.26 : 6,104.66 = 4,056.29 : x
  2. Step 2: Convert to fraction form
    4,097.26/6,104.66 = 4,056.29/x
  3. Step 3: Cross multiply
    4,097.26x = 6,104.66 × 4,056.29
  4. Step 4: Simplify right side
    4,097.26x = 24,762,220.51
  5. Step 5: Solve for x
    x = 24,762,220.51/4,097.26
  6. Step 6: Final answer
    x = 6,043.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.