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Finding the Fourth Proportional to 4,872.64, 7,309.66 and 1,539.76

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Solution

The fourth proportional to 4,872.64, 7,309.66 and 1,539.76 is: 2,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.64 : 7,309.66 = 1,539.76 : x
  2. Step 2: Convert to fraction form
    4,872.64/7,309.66 = 1,539.76/x
  3. Step 3: Cross multiply
    4,872.64x = 7,309.66 × 1,539.76
  4. Step 4: Simplify right side
    4,872.64x = 11,255,122.08
  5. Step 5: Solve for x
    x = 11,255,122.08/4,872.64
  6. Step 6: Final answer
    x = 2,309.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.