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Finding the Fourth Proportional to 5,378.63, 7,422.50 and 3,020.77

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Solution

The fourth proportional to 5,378.63, 7,422.50 and 3,020.77 is: 4,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.63 : 7,422.50 = 3,020.77 : x
  2. Step 2: Convert to fraction form
    5,378.63/7,422.50 = 3,020.77/x
  3. Step 3: Cross multiply
    5,378.63x = 7,422.50 × 3,020.77
  4. Step 4: Simplify right side
    5,378.63x = 22,421,654.32
  5. Step 5: Solve for x
    x = 22,421,654.32/5,378.63
  6. Step 6: Final answer
    x = 4,168.66

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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.