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Finding the Fourth Proportional to 5,693.84, 7,855.74 and 3,335.96

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Solution

The fourth proportional to 5,693.84, 7,855.74 and 3,335.96 is: 4,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.84 : 7,855.74 = 3,335.96 : x
  2. Step 2: Convert to fraction form
    5,693.84/7,855.74 = 3,335.96/x
  3. Step 3: Cross multiply
    5,693.84x = 7,855.74 × 3,335.96
  4. Step 4: Simplify right side
    5,693.84x = 26,206,434.41
  5. Step 5: Solve for x
    x = 26,206,434.41/5,693.84
  6. Step 6: Final answer
    x = 4,602.59

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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.