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Finding the Fourth Proportional to 5,266.93, 7,909.80 and 5,055.28

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Solution

The fourth proportional to 5,266.93, 7,909.80 and 5,055.28 is: 7,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.93 : 7,909.80 = 5,055.28 : x
  2. Step 2: Convert to fraction form
    5,266.93/7,909.80 = 5,055.28/x
  3. Step 3: Cross multiply
    5,266.93x = 7,909.80 × 5,055.28
  4. Step 4: Simplify right side
    5,266.93x = 39,986,219.14
  5. Step 5: Solve for x
    x = 39,986,219.14/5,266.93
  6. Step 6: Final answer
    x = 7,591.94

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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.