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Finding the Fourth Proportional to 4,744.07, 7,116.09 and 1,820.32

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Solution

The fourth proportional to 4,744.07, 7,116.09 and 1,820.32 is: 2,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.07 : 7,116.09 = 1,820.32 : x
  2. Step 2: Convert to fraction form
    4,744.07/7,116.09 = 1,820.32/x
  3. Step 3: Cross multiply
    4,744.07x = 7,116.09 × 1,820.32
  4. Step 4: Simplify right side
    4,744.07x = 12,953,576.36
  5. Step 5: Solve for x
    x = 12,953,576.36/4,744.07
  6. Step 6: Final answer
    x = 2,730.48

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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.