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Finding the Fourth Proportional to 3,657.03, 5,484.82 and 1,682.18

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Solution

The fourth proportional to 3,657.03, 5,484.82 and 1,682.18 is: 2,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.03 : 5,484.82 = 1,682.18 : x
  2. Step 2: Convert to fraction form
    3,657.03/5,484.82 = 1,682.18/x
  3. Step 3: Cross multiply
    3,657.03x = 5,484.82 × 1,682.18
  4. Step 4: Simplify right side
    3,657.03x = 9,226,454.51
  5. Step 5: Solve for x
    x = 9,226,454.51/3,657.03
  6. Step 6: Final answer
    x = 2,522.94

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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.