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Finding the Fourth Proportional to 3,699.74, 5,554.49 and 3,394.10

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Solution

The fourth proportional to 3,699.74, 5,554.49 and 3,394.10 is: 5,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.74 : 5,554.49 = 3,394.10 : x
  2. Step 2: Convert to fraction form
    3,699.74/5,554.49 = 3,394.10/x
  3. Step 3: Cross multiply
    3,699.74x = 5,554.49 × 3,394.10
  4. Step 4: Simplify right side
    3,699.74x = 18,852,449.77
  5. Step 5: Solve for x
    x = 18,852,449.77/3,699.74
  6. Step 6: Final answer
    x = 5,095.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.