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Finding the Fourth Proportional to 3,107.34, 4,655.79 and 2,992.50

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Solution

The fourth proportional to 3,107.34, 4,655.79 and 2,992.50 is: 4,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.34 : 4,655.79 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    3,107.34/4,655.79 = 2,992.50/x
  3. Step 3: Cross multiply
    3,107.34x = 4,655.79 × 2,992.50
  4. Step 4: Simplify right side
    3,107.34x = 13,932,451.58
  5. Step 5: Solve for x
    x = 13,932,451.58/3,107.34
  6. Step 6: Final answer
    x = 4,483.72

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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.