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Finding the Fourth Proportional to 3,209.69, 4,803.60 and 2,385.92

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Solution

The fourth proportional to 3,209.69, 4,803.60 and 2,385.92 is: 3,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.69 : 4,803.60 = 2,385.92 : x
  2. Step 2: Convert to fraction form
    3,209.69/4,803.60 = 2,385.92/x
  3. Step 3: Cross multiply
    3,209.69x = 4,803.60 × 2,385.92
  4. Step 4: Simplify right side
    3,209.69x = 11,461,026.27
  5. Step 5: Solve for x
    x = 11,461,026.27/3,209.69
  6. Step 6: Final answer
    x = 3,570.76

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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.