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Finding the Fourth Proportional to 5,227.32, 7,835.94 and 1,762.68

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Solution

The fourth proportional to 5,227.32, 7,835.94 and 1,762.68 is: 2,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.32 : 7,835.94 = 1,762.68 : x
  2. Step 2: Convert to fraction form
    5,227.32/7,835.94 = 1,762.68/x
  3. Step 3: Cross multiply
    5,227.32x = 7,835.94 × 1,762.68
  4. Step 4: Simplify right side
    5,227.32x = 13,812,254.72
  5. Step 5: Solve for x
    x = 13,812,254.72/5,227.32
  6. Step 6: Final answer
    x = 2,642.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.