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Finding the Fourth Proportional to 5,288.26, 7,926.80 and 1,774.93

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Solution

The fourth proportional to 5,288.26, 7,926.80 and 1,774.93 is: 2,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.26 : 7,926.80 = 1,774.93 : x
  2. Step 2: Convert to fraction form
    5,288.26/7,926.80 = 1,774.93/x
  3. Step 3: Cross multiply
    5,288.26x = 7,926.80 × 1,774.93
  4. Step 4: Simplify right side
    5,288.26x = 14,069,515.12
  5. Step 5: Solve for x
    x = 14,069,515.12/5,288.26
  6. Step 6: Final answer
    x = 2,660.52

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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.