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Finding the Fourth Proportional to 5,284.93, 7,928.29 and 1,775.27

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Solution

The fourth proportional to 5,284.93, 7,928.29 and 1,775.27 is: 2,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.93 : 7,928.29 = 1,775.27 : x
  2. Step 2: Convert to fraction form
    5,284.93/7,928.29 = 1,775.27/x
  3. Step 3: Cross multiply
    5,284.93x = 7,928.29 × 1,775.27
  4. Step 4: Simplify right side
    5,284.93x = 14,074,855.39
  5. Step 5: Solve for x
    x = 14,074,855.39/5,284.93
  6. Step 6: Final answer
    x = 2,663.21

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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.