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Finding the Fourth Proportional to 3,637.46, 5,459.42 and 1,690.76

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Solution

The fourth proportional to 3,637.46, 5,459.42 and 1,690.76 is: 2,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.46 : 5,459.42 = 1,690.76 : x
  2. Step 2: Convert to fraction form
    3,637.46/5,459.42 = 1,690.76/x
  3. Step 3: Cross multiply
    3,637.46x = 5,459.42 × 1,690.76
  4. Step 4: Simplify right side
    3,637.46x = 9,230,545.89
  5. Step 5: Solve for x
    x = 9,230,545.89/3,637.46
  6. Step 6: Final answer
    x = 2,537.64

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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.