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Finding the Fourth Proportional to 4,223.68, 5,828.40 and 2,455

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Solution

The fourth proportional to 4,223.68, 5,828.40 and 2,455 is: 3,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.68 : 5,828.40 = 2,455 : x
  2. Step 2: Convert to fraction form
    4,223.68/5,828.40 = 2,455/x
  3. Step 3: Cross multiply
    4,223.68x = 5,828.40 × 2,455
  4. Step 4: Simplify right side
    4,223.68x = 14,308,722
  5. Step 5: Solve for x
    x = 14,308,722/4,223.68
  6. Step 6: Final answer
    x = 3,387.74

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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.