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Finding the Fourth Proportional to 4,933.38, 7,406.07 and 2,303.46

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Solution

The fourth proportional to 4,933.38, 7,406.07 and 2,303.46 is: 3,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.38 : 7,406.07 = 2,303.46 : x
  2. Step 2: Convert to fraction form
    4,933.38/7,406.07 = 2,303.46/x
  3. Step 3: Cross multiply
    4,933.38x = 7,406.07 × 2,303.46
  4. Step 4: Simplify right side
    4,933.38x = 17,059,586.00
  5. Step 5: Solve for x
    x = 17,059,586.00/4,933.38
  6. Step 6: Final answer
    x = 3,457.99

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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.