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Finding the Fourth Proportional to 5,098.58, 7,649.09 and 2,326.08

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Solution

The fourth proportional to 5,098.58, 7,649.09 and 2,326.08 is: 3,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.58 : 7,649.09 = 2,326.08 : x
  2. Step 2: Convert to fraction form
    5,098.58/7,649.09 = 2,326.08/x
  3. Step 3: Cross multiply
    5,098.58x = 7,649.09 × 2,326.08
  4. Step 4: Simplify right side
    5,098.58x = 17,792,383.64
  5. Step 5: Solve for x
    x = 17,792,383.64/5,098.58
  6. Step 6: Final answer
    x = 3,489.68

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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.