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Finding the Fourth Proportional to 4,701.24, 7,051.80 and 1,414.20

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Solution

The fourth proportional to 4,701.24, 7,051.80 and 1,414.20 is: 2,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.24 : 7,051.80 = 1,414.20 : x
  2. Step 2: Convert to fraction form
    4,701.24/7,051.80 = 1,414.20/x
  3. Step 3: Cross multiply
    4,701.24x = 7,051.80 × 1,414.20
  4. Step 4: Simplify right side
    4,701.24x = 9,972,655.56
  5. Step 5: Solve for x
    x = 9,972,655.56/4,701.24
  6. Step 6: Final answer
    x = 2,121.28

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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.