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Finding the Fourth Proportional to 5,409.98, 7,465.76 and 3,052.11

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Solution

The fourth proportional to 5,409.98, 7,465.76 and 3,052.11 is: 4,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.98 : 7,465.76 = 3,052.11 : x
  2. Step 2: Convert to fraction form
    5,409.98/7,465.76 = 3,052.11/x
  3. Step 3: Cross multiply
    5,409.98x = 7,465.76 × 3,052.11
  4. Step 4: Simplify right side
    5,409.98x = 22,786,305.49
  5. Step 5: Solve for x
    x = 22,786,305.49/5,409.98
  6. Step 6: Final answer
    x = 4,211.91

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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.