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Finding the Fourth Proportional to 4,950.34, 7,426.88 and 4,023.60

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Solution

The fourth proportional to 4,950.34, 7,426.88 and 4,023.60 is: 6,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.34 : 7,426.88 = 4,023.60 : x
  2. Step 2: Convert to fraction form
    4,950.34/7,426.88 = 4,023.60/x
  3. Step 3: Cross multiply
    4,950.34x = 7,426.88 × 4,023.60
  4. Step 4: Simplify right side
    4,950.34x = 29,882,804.43
  5. Step 5: Solve for x
    x = 29,882,804.43/4,950.34
  6. Step 6: Final answer
    x = 6,036.52

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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.