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Finding the Fourth Proportional to 3,435.64, 4,738.70 and 2,110.08

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Solution

The fourth proportional to 3,435.64, 4,738.70 and 2,110.08 is: 2,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.64 : 4,738.70 = 2,110.08 : x
  2. Step 2: Convert to fraction form
    3,435.64/4,738.70 = 2,110.08/x
  3. Step 3: Cross multiply
    3,435.64x = 4,738.70 × 2,110.08
  4. Step 4: Simplify right side
    3,435.64x = 9,999,036.10
  5. Step 5: Solve for x
    x = 9,999,036.10/3,435.64
  6. Step 6: Final answer
    x = 2,910.39

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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.