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Finding the Fourth Proportional to 4,785.78, 6,610.50 and 3,659.88

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Solution

The fourth proportional to 4,785.78, 6,610.50 and 3,659.88 is: 5,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.78 : 6,610.50 = 3,659.88 : x
  2. Step 2: Convert to fraction form
    4,785.78/6,610.50 = 3,659.88/x
  3. Step 3: Cross multiply
    4,785.78x = 6,610.50 × 3,659.88
  4. Step 4: Simplify right side
    4,785.78x = 24,193,636.74
  5. Step 5: Solve for x
    x = 24,193,636.74/4,785.78
  6. Step 6: Final answer
    x = 5,055.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.