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Finding the Fourth Proportional to 4,905.86, 7,359.62 and 2,276.01

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Solution

The fourth proportional to 4,905.86, 7,359.62 and 2,276.01 is: 3,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.86 : 7,359.62 = 2,276.01 : x
  2. Step 2: Convert to fraction form
    4,905.86/7,359.62 = 2,276.01/x
  3. Step 3: Cross multiply
    4,905.86x = 7,359.62 × 2,276.01
  4. Step 4: Simplify right side
    4,905.86x = 16,750,557.34
  5. Step 5: Solve for x
    x = 16,750,557.34/4,905.86
  6. Step 6: Final answer
    x = 3,414.40

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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.