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Finding the Fourth Proportional to 4,809.52, 7,212.30 and 1,688.86

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Solution

The fourth proportional to 4,809.52, 7,212.30 and 1,688.86 is: 2,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.52 : 7,212.30 = 1,688.86 : x
  2. Step 2: Convert to fraction form
    4,809.52/7,212.30 = 1,688.86/x
  3. Step 3: Cross multiply
    4,809.52x = 7,212.30 × 1,688.86
  4. Step 4: Simplify right side
    4,809.52x = 12,180,564.98
  5. Step 5: Solve for x
    x = 12,180,564.98/4,809.52
  6. Step 6: Final answer
    x = 2,532.59

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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.