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Finding the Fourth Proportional to 3,482.34, 4,805.52 and 1,910.40

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Solution

The fourth proportional to 3,482.34, 4,805.52 and 1,910.40 is: 2,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.34 : 4,805.52 = 1,910.40 : x
  2. Step 2: Convert to fraction form
    3,482.34/4,805.52 = 1,910.40/x
  3. Step 3: Cross multiply
    3,482.34x = 4,805.52 × 1,910.40
  4. Step 4: Simplify right side
    3,482.34x = 9,180,465.41
  5. Step 5: Solve for x
    x = 9,180,465.41/3,482.34
  6. Step 6: Final answer
    x = 2,636.29

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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.