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Finding the Fourth Proportional to 5,743.71, 7,927.07 and 3,505.88

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Solution

The fourth proportional to 5,743.71, 7,927.07 and 3,505.88 is: 4,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.71 : 7,927.07 = 3,505.88 : x
  2. Step 2: Convert to fraction form
    5,743.71/7,927.07 = 3,505.88/x
  3. Step 3: Cross multiply
    5,743.71x = 7,927.07 × 3,505.88
  4. Step 4: Simplify right side
    5,743.71x = 27,791,358.46
  5. Step 5: Solve for x
    x = 27,791,358.46/5,743.71
  6. Step 6: Final answer
    x = 4,838.57

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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.