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Finding the Fourth Proportional to 4,145.52, 6,166.86 and 4,103.76

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Solution

The fourth proportional to 4,145.52, 6,166.86 and 4,103.76 is: 6,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.52 : 6,166.86 = 4,103.76 : x
  2. Step 2: Convert to fraction form
    4,145.52/6,166.86 = 4,103.76/x
  3. Step 3: Cross multiply
    4,145.52x = 6,166.86 × 4,103.76
  4. Step 4: Simplify right side
    4,145.52x = 25,307,313.39
  5. Step 5: Solve for x
    x = 25,307,313.39/4,145.52
  6. Step 6: Final answer
    x = 6,104.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.