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Finding the Fourth Proportional to 4,463.93, 6,157.78 and 2,845.82

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Solution

The fourth proportional to 4,463.93, 6,157.78 and 2,845.82 is: 3,925.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.93 : 6,157.78 = 2,845.82 : x
  2. Step 2: Convert to fraction form
    4,463.93/6,157.78 = 2,845.82/x
  3. Step 3: Cross multiply
    4,463.93x = 6,157.78 × 2,845.82
  4. Step 4: Simplify right side
    4,463.93x = 17,523,941.76
  5. Step 5: Solve for x
    x = 17,523,941.76/4,463.93
  6. Step 6: Final answer
    x = 3,925.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.