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Finding the Fourth Proportional to 3,677.90, 5,516.86 and 904.58

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Solution

The fourth proportional to 3,677.90, 5,516.86 and 904.58 is: 1,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.90 : 5,516.86 = 904.58 : x
  2. Step 2: Convert to fraction form
    3,677.90/5,516.86 = 904.58/x
  3. Step 3: Cross multiply
    3,677.90x = 5,516.86 × 904.58
  4. Step 4: Simplify right side
    3,677.90x = 4,990,441.22
  5. Step 5: Solve for x
    x = 4,990,441.22/3,677.90
  6. Step 6: Final answer
    x = 1,356.87

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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.