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Finding the Fourth Proportional to 4,156.18, 5,760.28 and 4,078.42

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Solution

The fourth proportional to 4,156.18, 5,760.28 and 4,078.42 is: 5,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.18 : 5,760.28 = 4,078.42 : x
  2. Step 2: Convert to fraction form
    4,156.18/5,760.28 = 4,078.42/x
  3. Step 3: Cross multiply
    4,156.18x = 5,760.28 × 4,078.42
  4. Step 4: Simplify right side
    4,156.18x = 23,492,831.85
  5. Step 5: Solve for x
    x = 23,492,831.85/4,156.18
  6. Step 6: Final answer
    x = 5,652.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.