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Finding the Fourth Proportional to 4,941.75, 7,412.63 and 1,479

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Solution

The fourth proportional to 4,941.75, 7,412.63 and 1,479 is: 2,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.75 : 7,412.63 = 1,479 : x
  2. Step 2: Convert to fraction form
    4,941.75/7,412.63 = 1,479/x
  3. Step 3: Cross multiply
    4,941.75x = 7,412.63 × 1,479
  4. Step 4: Simplify right side
    4,941.75x = 10,963,272.38
  5. Step 5: Solve for x
    x = 10,963,272.38/4,941.75
  6. Step 6: Final answer
    x = 2,218.50

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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.