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Finding the Fourth Proportional to 5,133.70, 7,701.38 and 2,012.01

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Solution

The fourth proportional to 5,133.70, 7,701.38 and 2,012.01 is: 3,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.70 : 7,701.38 = 2,012.01 : x
  2. Step 2: Convert to fraction form
    5,133.70/7,701.38 = 2,012.01/x
  3. Step 3: Cross multiply
    5,133.70x = 7,701.38 × 2,012.01
  4. Step 4: Simplify right side
    5,133.70x = 15,495,270.31
  5. Step 5: Solve for x
    x = 15,495,270.31/5,133.70
  6. Step 6: Final answer
    x = 3,018.34

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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.