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Finding the Fourth Proportional to 5,146.42, 7,102.12 and 3,021.98

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Solution

The fourth proportional to 5,146.42, 7,102.12 and 3,021.98 is: 4,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.42 : 7,102.12 = 3,021.98 : x
  2. Step 2: Convert to fraction form
    5,146.42/7,102.12 = 3,021.98/x
  3. Step 3: Cross multiply
    5,146.42x = 7,102.12 × 3,021.98
  4. Step 4: Simplify right side
    5,146.42x = 21,462,434.74
  5. Step 5: Solve for x
    x = 21,462,434.74/5,146.42
  6. Step 6: Final answer
    x = 4,170.36

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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.