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Finding the Fourth Proportional to 3,505.84, 4,838.18 and 2,014.03

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Solution

The fourth proportional to 3,505.84, 4,838.18 and 2,014.03 is: 2,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.84 : 4,838.18 = 2,014.03 : x
  2. Step 2: Convert to fraction form
    3,505.84/4,838.18 = 2,014.03/x
  3. Step 3: Cross multiply
    3,505.84x = 4,838.18 × 2,014.03
  4. Step 4: Simplify right side
    3,505.84x = 9,744,205.40
  5. Step 5: Solve for x
    x = 9,744,205.40/3,505.84
  6. Step 6: Final answer
    x = 2,779.42

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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.