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Finding the Fourth Proportional to 3,405.99, 4,701.15 and 1,914.38

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Solution

The fourth proportional to 3,405.99, 4,701.15 and 1,914.38 is: 2,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.99 : 4,701.15 = 1,914.38 : x
  2. Step 2: Convert to fraction form
    3,405.99/4,701.15 = 1,914.38/x
  3. Step 3: Cross multiply
    3,405.99x = 4,701.15 × 1,914.38
  4. Step 4: Simplify right side
    3,405.99x = 8,999,799.29
  5. Step 5: Solve for x
    x = 8,999,799.29/3,405.99
  6. Step 6: Final answer
    x = 2,642.35

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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.