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Finding the Fourth Proportional to 3,537.56, 5,298.26 and 1,689.98

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Solution

The fourth proportional to 3,537.56, 5,298.26 and 1,689.98 is: 2,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.56 : 5,298.26 = 1,689.98 : x
  2. Step 2: Convert to fraction form
    3,537.56/5,298.26 = 1,689.98/x
  3. Step 3: Cross multiply
    3,537.56x = 5,298.26 × 1,689.98
  4. Step 4: Simplify right side
    3,537.56x = 8,953,918.49
  5. Step 5: Solve for x
    x = 8,953,918.49/3,537.56
  6. Step 6: Final answer
    x = 2,531.10

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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.