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Finding the Fourth Proportional to 3,783.84, 5,688.72 and 3,498.72

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Solution

The fourth proportional to 3,783.84, 5,688.72 and 3,498.72 is: 5,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.84 : 5,688.72 = 3,498.72 : x
  2. Step 2: Convert to fraction form
    3,783.84/5,688.72 = 3,498.72/x
  3. Step 3: Cross multiply
    3,783.84x = 5,688.72 × 3,498.72
  4. Step 4: Simplify right side
    3,783.84x = 19,903,238.44
  5. Step 5: Solve for x
    x = 19,903,238.44/3,783.84
  6. Step 6: Final answer
    x = 5,260.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.