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Finding the Fourth Proportional to 5,098.36, 7,646.28 and 1,400.41

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Solution

The fourth proportional to 5,098.36, 7,646.28 and 1,400.41 is: 2,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.36 : 7,646.28 = 1,400.41 : x
  2. Step 2: Convert to fraction form
    5,098.36/7,646.28 = 1,400.41/x
  3. Step 3: Cross multiply
    5,098.36x = 7,646.28 × 1,400.41
  4. Step 4: Simplify right side
    5,098.36x = 10,707,926.97
  5. Step 5: Solve for x
    x = 10,707,926.97/5,098.36
  6. Step 6: Final answer
    x = 2,100.27

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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.