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Finding the Fourth Proportional to 3,097.76, 4,636.53 and 2,275.82

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Solution

The fourth proportional to 3,097.76, 4,636.53 and 2,275.82 is: 3,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.76 : 4,636.53 = 2,275.82 : x
  2. Step 2: Convert to fraction form
    3,097.76/4,636.53 = 2,275.82/x
  3. Step 3: Cross multiply
    3,097.76x = 4,636.53 × 2,275.82
  4. Step 4: Simplify right side
    3,097.76x = 10,551,907.70
  5. Step 5: Solve for x
    x = 10,551,907.70/3,097.76
  6. Step 6: Final answer
    x = 3,406.30

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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.