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Finding the Fourth Proportional to 4,875.40, 6,723 and 3,458.44

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Solution

The fourth proportional to 4,875.40, 6,723 and 3,458.44 is: 4,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.40 : 6,723 = 3,458.44 : x
  2. Step 2: Convert to fraction form
    4,875.40/6,723 = 3,458.44/x
  3. Step 3: Cross multiply
    4,875.40x = 6,723 × 3,458.44
  4. Step 4: Simplify right side
    4,875.40x = 23,251,092.12
  5. Step 5: Solve for x
    x = 23,251,092.12/4,875.40
  6. Step 6: Final answer
    x = 4,769.06

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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.