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Finding the Fourth Proportional to 5,284.80, 7,293.06 and 2,927.07

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Solution

The fourth proportional to 5,284.80, 7,293.06 and 2,927.07 is: 4,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.80 : 7,293.06 = 2,927.07 : x
  2. Step 2: Convert to fraction form
    5,284.80/7,293.06 = 2,927.07/x
  3. Step 3: Cross multiply
    5,284.80x = 7,293.06 × 2,927.07
  4. Step 4: Simplify right side
    5,284.80x = 21,347,297.13
  5. Step 5: Solve for x
    x = 21,347,297.13/5,284.80
  6. Step 6: Final answer
    x = 4,039.38

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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.