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Finding the Fourth Proportional to 4,407.77, 6,610.64 and 1,287.12

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Solution

The fourth proportional to 4,407.77, 6,610.64 and 1,287.12 is: 1,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.77 : 6,610.64 = 1,287.12 : x
  2. Step 2: Convert to fraction form
    4,407.77/6,610.64 = 1,287.12/x
  3. Step 3: Cross multiply
    4,407.77x = 6,610.64 × 1,287.12
  4. Step 4: Simplify right side
    4,407.77x = 8,508,680.52
  5. Step 5: Solve for x
    x = 8,508,680.52/4,407.77
  6. Step 6: Final answer
    x = 1,930.38

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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.