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Finding the Fourth Proportional to 5,287.69, 7,293.99 and 4,659.76

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Solution

The fourth proportional to 5,287.69, 7,293.99 and 4,659.76 is: 6,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.69 : 7,293.99 = 4,659.76 : x
  2. Step 2: Convert to fraction form
    5,287.69/7,293.99 = 4,659.76/x
  3. Step 3: Cross multiply
    5,287.69x = 7,293.99 × 4,659.76
  4. Step 4: Simplify right side
    5,287.69x = 33,988,242.84
  5. Step 5: Solve for x
    x = 33,988,242.84/5,287.69
  6. Step 6: Final answer
    x = 6,427.81

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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.