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Finding the Fourth Proportional to 5,324.28, 7,990.90 and 4,709.52

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Solution

The fourth proportional to 5,324.28, 7,990.90 and 4,709.52 is: 7,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.28 : 7,990.90 = 4,709.52 : x
  2. Step 2: Convert to fraction form
    5,324.28/7,990.90 = 4,709.52/x
  3. Step 3: Cross multiply
    5,324.28x = 7,990.90 × 4,709.52
  4. Step 4: Simplify right side
    5,324.28x = 37,633,303.37
  5. Step 5: Solve for x
    x = 37,633,303.37/5,324.28
  6. Step 6: Final answer
    x = 7,068.24

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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.