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Finding the Fourth Proportional to 5,256.10, 7,234.41 and 4,953.70

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Solution

The fourth proportional to 5,256.10, 7,234.41 and 4,953.70 is: 6,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.10 : 7,234.41 = 4,953.70 : x
  2. Step 2: Convert to fraction form
    5,256.10/7,234.41 = 4,953.70/x
  3. Step 3: Cross multiply
    5,256.10x = 7,234.41 × 4,953.70
  4. Step 4: Simplify right side
    5,256.10x = 35,837,096.82
  5. Step 5: Solve for x
    x = 35,837,096.82/5,256.10
  6. Step 6: Final answer
    x = 6,818.19

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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.