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Finding the Fourth Proportional to 3,950.24, 5,920.24 and 1,607.52

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Solution

The fourth proportional to 3,950.24, 5,920.24 and 1,607.52 is: 2,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.24 : 5,920.24 = 1,607.52 : x
  2. Step 2: Convert to fraction form
    3,950.24/5,920.24 = 1,607.52/x
  3. Step 3: Cross multiply
    3,950.24x = 5,920.24 × 1,607.52
  4. Step 4: Simplify right side
    3,950.24x = 9,516,904.20
  5. Step 5: Solve for x
    x = 9,516,904.20/3,950.24
  6. Step 6: Final answer
    x = 2,409.20

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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.