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Finding the Fourth Proportional to 4,934.08, 7,390.14 and 4,549.94

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Solution

The fourth proportional to 4,934.08, 7,390.14 and 4,549.94 is: 6,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.08 : 7,390.14 = 4,549.94 : x
  2. Step 2: Convert to fraction form
    4,934.08/7,390.14 = 4,549.94/x
  3. Step 3: Cross multiply
    4,934.08x = 7,390.14 × 4,549.94
  4. Step 4: Simplify right side
    4,934.08x = 33,624,693.59
  5. Step 5: Solve for x
    x = 33,624,693.59/4,934.08
  6. Step 6: Final answer
    x = 6,814.78

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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.