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Finding the Fourth Proportional to 5,446.44, 7,510.32 and 5,002.56

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Solution

The fourth proportional to 5,446.44, 7,510.32 and 5,002.56 is: 6,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.44 : 7,510.32 = 5,002.56 : x
  2. Step 2: Convert to fraction form
    5,446.44/7,510.32 = 5,002.56/x
  3. Step 3: Cross multiply
    5,446.44x = 7,510.32 × 5,002.56
  4. Step 4: Simplify right side
    5,446.44x = 37,570,826.42
  5. Step 5: Solve for x
    x = 37,570,826.42/5,446.44
  6. Step 6: Final answer
    x = 6,898.24

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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.