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Finding the Fourth Proportional to 4,078.91, 6,118.37 and 1,117.14

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Solution

The fourth proportional to 4,078.91, 6,118.37 and 1,117.14 is: 1,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.91 : 6,118.37 = 1,117.14 : x
  2. Step 2: Convert to fraction form
    4,078.91/6,118.37 = 1,117.14/x
  3. Step 3: Cross multiply
    4,078.91x = 6,118.37 × 1,117.14
  4. Step 4: Simplify right side
    4,078.91x = 6,835,051.52
  5. Step 5: Solve for x
    x = 6,835,051.52/4,078.91
  6. Step 6: Final answer
    x = 1,675.71

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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.