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Finding the Fourth Proportional to 3,485.62, 4,810.49 and 1,913.95

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Solution

The fourth proportional to 3,485.62, 4,810.49 and 1,913.95 is: 2,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.62 : 4,810.49 = 1,913.95 : x
  2. Step 2: Convert to fraction form
    3,485.62/4,810.49 = 1,913.95/x
  3. Step 3: Cross multiply
    3,485.62x = 4,810.49 × 1,913.95
  4. Step 4: Simplify right side
    3,485.62x = 9,207,037.34
  5. Step 5: Solve for x
    x = 9,207,037.34/3,485.62
  6. Step 6: Final answer
    x = 2,641.43

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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.