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Finding the Fourth Proportional to 4,905.09, 7,353 and 2,272.86

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Solution

The fourth proportional to 4,905.09, 7,353 and 2,272.86 is: 3,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.09 : 7,353 = 2,272.86 : x
  2. Step 2: Convert to fraction form
    4,905.09/7,353 = 2,272.86/x
  3. Step 3: Cross multiply
    4,905.09x = 7,353 × 2,272.86
  4. Step 4: Simplify right side
    4,905.09x = 16,712,339.58
  5. Step 5: Solve for x
    x = 16,712,339.58/4,905.09
  6. Step 6: Final answer
    x = 3,407.14

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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.