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Finding the Fourth Proportional to 4,807.76, 7,214.46 and 2,034.26

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Solution

The fourth proportional to 4,807.76, 7,214.46 and 2,034.26 is: 3,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.76 : 7,214.46 = 2,034.26 : x
  2. Step 2: Convert to fraction form
    4,807.76/7,214.46 = 2,034.26/x
  3. Step 3: Cross multiply
    4,807.76x = 7,214.46 × 2,034.26
  4. Step 4: Simplify right side
    4,807.76x = 14,676,087.40
  5. Step 5: Solve for x
    x = 14,676,087.40/4,807.76
  6. Step 6: Final answer
    x = 3,052.58

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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.