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Finding the Fourth Proportional to 4,223.81, 5,829.20 and 2,455.77

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Solution

The fourth proportional to 4,223.81, 5,829.20 and 2,455.77 is: 3,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.81 : 5,829.20 = 2,455.77 : x
  2. Step 2: Convert to fraction form
    4,223.81/5,829.20 = 2,455.77/x
  3. Step 3: Cross multiply
    4,223.81x = 5,829.20 × 2,455.77
  4. Step 4: Simplify right side
    4,223.81x = 14,315,160.48
  5. Step 5: Solve for x
    x = 14,315,160.48/4,223.81
  6. Step 6: Final answer
    x = 3,389.16

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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.