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Finding the Fourth Proportional to 5,285.27, 7,929.07 and 1,775.40

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Solution

The fourth proportional to 5,285.27, 7,929.07 and 1,775.40 is: 2,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.27 : 7,929.07 = 1,775.40 : x
  2. Step 2: Convert to fraction form
    5,285.27/7,929.07 = 1,775.40/x
  3. Step 3: Cross multiply
    5,285.27x = 7,929.07 × 1,775.40
  4. Step 4: Simplify right side
    5,285.27x = 14,077,266.44
  5. Step 5: Solve for x
    x = 14,077,266.44/5,285.27
  6. Step 6: Final answer
    x = 2,663.49

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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.