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Finding the Fourth Proportional to 4,305.44, 6,455.76 and 2,113.60

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Solution

The fourth proportional to 4,305.44, 6,455.76 and 2,113.60 is: 3,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.44 : 6,455.76 = 2,113.60 : x
  2. Step 2: Convert to fraction form
    4,305.44/6,455.76 = 2,113.60/x
  3. Step 3: Cross multiply
    4,305.44x = 6,455.76 × 2,113.60
  4. Step 4: Simplify right side
    4,305.44x = 13,644,894.34
  5. Step 5: Solve for x
    x = 13,644,894.34/4,305.44
  6. Step 6: Final answer
    x = 3,169.22

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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.