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Finding the Fourth Proportional to 4,706.36, 6,494.56 and 2,610.44

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Solution

The fourth proportional to 4,706.36, 6,494.56 and 2,610.44 is: 3,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.36 : 6,494.56 = 2,610.44 : x
  2. Step 2: Convert to fraction form
    4,706.36/6,494.56 = 2,610.44/x
  3. Step 3: Cross multiply
    4,706.36x = 6,494.56 × 2,610.44
  4. Step 4: Simplify right side
    4,706.36x = 16,953,659.21
  5. Step 5: Solve for x
    x = 16,953,659.21/4,706.36
  6. Step 6: Final answer
    x = 3,602.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.