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Finding the Fourth Proportional to 5,828.47, 8,042.90 and 3,438.32

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Solution

The fourth proportional to 5,828.47, 8,042.90 and 3,438.32 is: 4,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.47 : 8,042.90 = 3,438.32 : x
  2. Step 2: Convert to fraction form
    5,828.47/8,042.90 = 3,438.32/x
  3. Step 3: Cross multiply
    5,828.47x = 8,042.90 × 3,438.32
  4. Step 4: Simplify right side
    5,828.47x = 27,654,006.52
  5. Step 5: Solve for x
    x = 27,654,006.52/5,828.47
  6. Step 6: Final answer
    x = 4,744.64

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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.