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Finding the Fourth Proportional to 5,263.44, 7,256.22 and 3,582.24

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Solution

The fourth proportional to 5,263.44, 7,256.22 and 3,582.24 is: 4,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.44 : 7,256.22 = 3,582.24 : x
  2. Step 2: Convert to fraction form
    5,263.44/7,256.22 = 3,582.24/x
  3. Step 3: Cross multiply
    5,263.44x = 7,256.22 × 3,582.24
  4. Step 4: Simplify right side
    5,263.44x = 25,993,521.53
  5. Step 5: Solve for x
    x = 25,993,521.53/5,263.44
  6. Step 6: Final answer
    x = 4,938.50

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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.