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Finding the Fourth Proportional to 3,531.99, 4,874.04 and 1,938.63

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Solution

The fourth proportional to 3,531.99, 4,874.04 and 1,938.63 is: 2,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.99 : 4,874.04 = 1,938.63 : x
  2. Step 2: Convert to fraction form
    3,531.99/4,874.04 = 1,938.63/x
  3. Step 3: Cross multiply
    3,531.99x = 4,874.04 × 1,938.63
  4. Step 4: Simplify right side
    3,531.99x = 9,448,985.71
  5. Step 5: Solve for x
    x = 9,448,985.71/3,531.99
  6. Step 6: Final answer
    x = 2,675.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.