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Finding the Fourth Proportional to 4,936, 7,407.64 and 2,338.94

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Solution

The fourth proportional to 4,936, 7,407.64 and 2,338.94 is: 3,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936 : 7,407.64 = 2,338.94 : x
  2. Step 2: Convert to fraction form
    4,936/7,407.64 = 2,338.94/x
  3. Step 3: Cross multiply
    4,936x = 7,407.64 × 2,338.94
  4. Step 4: Simplify right side
    4,936x = 17,326,025.50
  5. Step 5: Solve for x
    x = 17,326,025.50/4,936
  6. Step 6: Final answer
    x = 3,510.13

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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.