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Finding the Fourth Proportional to 5,195.47, 7,795.95 and 2,275.84

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Solution

The fourth proportional to 5,195.47, 7,795.95 and 2,275.84 is: 3,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.47 : 7,795.95 = 2,275.84 : x
  2. Step 2: Convert to fraction form
    5,195.47/7,795.95 = 2,275.84/x
  3. Step 3: Cross multiply
    5,195.47x = 7,795.95 × 2,275.84
  4. Step 4: Simplify right side
    5,195.47x = 17,742,334.85
  5. Step 5: Solve for x
    x = 17,742,334.85/5,195.47
  6. Step 6: Final answer
    x = 3,414.96

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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.