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Finding the Fourth Proportional to 4,166.55, 5,747.76 and 3,423.51

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Solution

The fourth proportional to 4,166.55, 5,747.76 and 3,423.51 is: 4,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.55 : 5,747.76 = 3,423.51 : x
  2. Step 2: Convert to fraction form
    4,166.55/5,747.76 = 3,423.51/x
  3. Step 3: Cross multiply
    4,166.55x = 5,747.76 × 3,423.51
  4. Step 4: Simplify right side
    4,166.55x = 19,677,513.84
  5. Step 5: Solve for x
    x = 19,677,513.84/4,166.55
  6. Step 6: Final answer
    x = 4,722.74

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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.