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Finding the Fourth Proportional to 3,943, 5,907.72 and 2,478.52

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Solution

The fourth proportional to 3,943, 5,907.72 and 2,478.52 is: 3,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943 : 5,907.72 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    3,943/5,907.72 = 2,478.52/x
  3. Step 3: Cross multiply
    3,943x = 5,907.72 × 2,478.52
  4. Step 4: Simplify right side
    3,943x = 14,642,402.17
  5. Step 5: Solve for x
    x = 14,642,402.17/3,943
  6. Step 6: Final answer
    x = 3,713.52

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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.