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Finding the Fourth Proportional to 5,537.19, 7,641.14 and 3,019.28

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Solution

The fourth proportional to 5,537.19, 7,641.14 and 3,019.28 is: 4,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.19 : 7,641.14 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    5,537.19/7,641.14 = 3,019.28/x
  3. Step 3: Cross multiply
    5,537.19x = 7,641.14 × 3,019.28
  4. Step 4: Simplify right side
    5,537.19x = 23,070,687.88
  5. Step 5: Solve for x
    x = 23,070,687.88/5,537.19
  6. Step 6: Final answer
    x = 4,166.49

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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.