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Finding the Fourth Proportional to 4,206.42, 5,762.82 and 4,048.77

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Solution

The fourth proportional to 4,206.42, 5,762.82 and 4,048.77 is: 5,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.42 : 5,762.82 = 4,048.77 : x
  2. Step 2: Convert to fraction form
    4,206.42/5,762.82 = 4,048.77/x
  3. Step 3: Cross multiply
    4,206.42x = 5,762.82 × 4,048.77
  4. Step 4: Simplify right side
    4,206.42x = 23,332,312.49
  5. Step 5: Solve for x
    x = 23,332,312.49/4,206.42
  6. Step 6: Final answer
    x = 5,546.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.