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Finding the Fourth Proportional to 4,753.90, 7,128.01 and 1,977.22

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Solution

The fourth proportional to 4,753.90, 7,128.01 and 1,977.22 is: 2,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.90 : 7,128.01 = 1,977.22 : x
  2. Step 2: Convert to fraction form
    4,753.90/7,128.01 = 1,977.22/x
  3. Step 3: Cross multiply
    4,753.90x = 7,128.01 × 1,977.22
  4. Step 4: Simplify right side
    4,753.90x = 14,093,643.93
  5. Step 5: Solve for x
    x = 14,093,643.93/4,753.90
  6. Step 6: Final answer
    x = 2,964.65

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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.