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Finding the Fourth Proportional to 4,078.52, 6,117.84 and 1,156.83

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Solution

The fourth proportional to 4,078.52, 6,117.84 and 1,156.83 is: 1,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.52 : 6,117.84 = 1,156.83 : x
  2. Step 2: Convert to fraction form
    4,078.52/6,117.84 = 1,156.83/x
  3. Step 3: Cross multiply
    4,078.52x = 6,117.84 × 1,156.83
  4. Step 4: Simplify right side
    4,078.52x = 7,077,300.85
  5. Step 5: Solve for x
    x = 7,077,300.85/4,078.52
  6. Step 6: Final answer
    x = 1,735.26

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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.