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Finding the Fourth Proportional to 4,053.58, 6,076.71 and 2,099.86

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Solution

The fourth proportional to 4,053.58, 6,076.71 and 2,099.86 is: 3,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.58 : 6,076.71 = 2,099.86 : x
  2. Step 2: Convert to fraction form
    4,053.58/6,076.71 = 2,099.86/x
  3. Step 3: Cross multiply
    4,053.58x = 6,076.71 × 2,099.86
  4. Step 4: Simplify right side
    4,053.58x = 12,760,225.07
  5. Step 5: Solve for x
    x = 12,760,225.07/4,053.58
  6. Step 6: Final answer
    x = 3,147.89

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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.