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Finding the Fourth Proportional to 5,357.76, 7,393.32 and 3,262.56

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Solution

The fourth proportional to 5,357.76, 7,393.32 and 3,262.56 is: 4,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.76 : 7,393.32 = 3,262.56 : x
  2. Step 2: Convert to fraction form
    5,357.76/7,393.32 = 3,262.56/x
  3. Step 3: Cross multiply
    5,357.76x = 7,393.32 × 3,262.56
  4. Step 4: Simplify right side
    5,357.76x = 24,121,150.10
  5. Step 5: Solve for x
    x = 24,121,150.10/5,357.76
  6. Step 6: Final answer
    x = 4,502.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.