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Finding the Fourth Proportional to 3,375.34, 4,658 and 1,862.97

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Solution

The fourth proportional to 3,375.34, 4,658 and 1,862.97 is: 2,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.34 : 4,658 = 1,862.97 : x
  2. Step 2: Convert to fraction form
    3,375.34/4,658 = 1,862.97/x
  3. Step 3: Cross multiply
    3,375.34x = 4,658 × 1,862.97
  4. Step 4: Simplify right side
    3,375.34x = 8,677,714.26
  5. Step 5: Solve for x
    x = 8,677,714.26/3,375.34
  6. Step 6: Final answer
    x = 2,570.92

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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.