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Finding the Fourth Proportional to 3,657.42, 5,045.76 and 2,164.77

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Solution

The fourth proportional to 3,657.42, 5,045.76 and 2,164.77 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.42 : 5,045.76 = 2,164.77 : x
  2. Step 2: Convert to fraction form
    3,657.42/5,045.76 = 2,164.77/x
  3. Step 3: Cross multiply
    3,657.42x = 5,045.76 × 2,164.77
  4. Step 4: Simplify right side
    3,657.42x = 10,922,909.88
  5. Step 5: Solve for x
    x = 10,922,909.88/3,657.42
  6. Step 6: Final answer
    x = 2,986.51

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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.