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Finding the Fourth Proportional to 4,636.58, 6,913.51 and 4,121.42

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Solution

The fourth proportional to 4,636.58, 6,913.51 and 4,121.42 is: 6,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.58 : 6,913.51 = 4,121.42 : x
  2. Step 2: Convert to fraction form
    4,636.58/6,913.51 = 4,121.42/x
  3. Step 3: Cross multiply
    4,636.58x = 6,913.51 × 4,121.42
  4. Step 4: Simplify right side
    4,636.58x = 28,493,478.38
  5. Step 5: Solve for x
    x = 28,493,478.38/4,636.58
  6. Step 6: Final answer
    x = 6,145.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.