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Finding the Fourth Proportional to 5,146, 7,101.52 and 3,051.92

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Solution

The fourth proportional to 5,146, 7,101.52 and 3,051.92 is: 4,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146 : 7,101.52 = 3,051.92 : x
  2. Step 2: Convert to fraction form
    5,146/7,101.52 = 3,051.92/x
  3. Step 3: Cross multiply
    5,146x = 7,101.52 × 3,051.92
  4. Step 4: Simplify right side
    5,146x = 21,673,270.92
  5. Step 5: Solve for x
    x = 21,673,270.92/5,146
  6. Step 6: Final answer
    x = 4,211.67

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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.