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Finding the Fourth Proportional to 3,701.44, 5,102.64 and 2,914.08

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Solution

The fourth proportional to 3,701.44, 5,102.64 and 2,914.08 is: 4,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.44 : 5,102.64 = 2,914.08 : x
  2. Step 2: Convert to fraction form
    3,701.44/5,102.64 = 2,914.08/x
  3. Step 3: Cross multiply
    3,701.44x = 5,102.64 × 2,914.08
  4. Step 4: Simplify right side
    3,701.44x = 14,869,501.17
  5. Step 5: Solve for x
    x = 14,869,501.17/3,701.44
  6. Step 6: Final answer
    x = 4,017.22

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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.