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Finding the Fourth Proportional to 4,941.38, 7,411.51 and 1,243.61

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Solution

The fourth proportional to 4,941.38, 7,411.51 and 1,243.61 is: 1,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.38 : 7,411.51 = 1,243.61 : x
  2. Step 2: Convert to fraction form
    4,941.38/7,411.51 = 1,243.61/x
  3. Step 3: Cross multiply
    4,941.38x = 7,411.51 × 1,243.61
  4. Step 4: Simplify right side
    4,941.38x = 9,216,994.00
  5. Step 5: Solve for x
    x = 9,216,994.00/4,941.38
  6. Step 6: Final answer
    x = 1,865.27

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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.