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Finding the Fourth Proportional to 3,735.63, 5,154.97 and 2,056.98

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Solution

The fourth proportional to 3,735.63, 5,154.97 and 2,056.98 is: 2,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.63 : 5,154.97 = 2,056.98 : x
  2. Step 2: Convert to fraction form
    3,735.63/5,154.97 = 2,056.98/x
  3. Step 3: Cross multiply
    3,735.63x = 5,154.97 × 2,056.98
  4. Step 4: Simplify right side
    3,735.63x = 10,603,670.19
  5. Step 5: Solve for x
    x = 10,603,670.19/3,735.63
  6. Step 6: Final answer
    x = 2,838.52

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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.