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Finding the Fourth Proportional to 3,534.99, 5,293.99 and 2,051.07

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Solution

The fourth proportional to 3,534.99, 5,293.99 and 2,051.07 is: 3,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.99 : 5,293.99 = 2,051.07 : x
  2. Step 2: Convert to fraction form
    3,534.99/5,293.99 = 2,051.07/x
  3. Step 3: Cross multiply
    3,534.99x = 5,293.99 × 2,051.07
  4. Step 4: Simplify right side
    3,534.99x = 10,858,344.07
  5. Step 5: Solve for x
    x = 10,858,344.07/3,534.99
  6. Step 6: Final answer
    x = 3,071.68

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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.