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Finding the Fourth Proportional to 4,935.74, 7,406.53 and 1,817.94

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Solution

The fourth proportional to 4,935.74, 7,406.53 and 1,817.94 is: 2,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.74 : 7,406.53 = 1,817.94 : x
  2. Step 2: Convert to fraction form
    4,935.74/7,406.53 = 1,817.94/x
  3. Step 3: Cross multiply
    4,935.74x = 7,406.53 × 1,817.94
  4. Step 4: Simplify right side
    4,935.74x = 13,464,590.12
  5. Step 5: Solve for x
    x = 13,464,590.12/4,935.74
  6. Step 6: Final answer
    x = 2,727.98

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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.