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Finding the Fourth Proportional to 5,849.76, 8,772.81 and 1,953.25

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Solution

The fourth proportional to 5,849.76, 8,772.81 and 1,953.25 is: 2,929.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.76 : 8,772.81 = 1,953.25 : x
  2. Step 2: Convert to fraction form
    5,849.76/8,772.81 = 1,953.25/x
  3. Step 3: Cross multiply
    5,849.76x = 8,772.81 × 1,953.25
  4. Step 4: Simplify right side
    5,849.76x = 17,135,491.13
  5. Step 5: Solve for x
    x = 17,135,491.13/5,849.76
  6. Step 6: Final answer
    x = 2,929.26

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1.5x scale

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.