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Finding the Fourth Proportional to 5,743.88, 7,926.35 and 3,509.49

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Solution

The fourth proportional to 5,743.88, 7,926.35 and 3,509.49 is: 4,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.88 : 7,926.35 = 3,509.49 : x
  2. Step 2: Convert to fraction form
    5,743.88/7,926.35 = 3,509.49/x
  3. Step 3: Cross multiply
    5,743.88x = 7,926.35 × 3,509.49
  4. Step 4: Simplify right side
    5,743.88x = 27,817,446.06
  5. Step 5: Solve for x
    x = 27,817,446.06/5,743.88
  6. Step 6: Final answer
    x = 4,842.98

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1.5x scale

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.