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Finding the Fourth Proportional to 6,142.96, 8,477.31 and 3,590.86

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Solution

The fourth proportional to 6,142.96, 8,477.31 and 3,590.86 is: 4,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.96 : 8,477.31 = 3,590.86 : x
  2. Step 2: Convert to fraction form
    6,142.96/8,477.31 = 3,590.86/x
  3. Step 3: Cross multiply
    6,142.96x = 8,477.31 × 3,590.86
  4. Step 4: Simplify right side
    6,142.96x = 30,440,833.28
  5. Step 5: Solve for x
    x = 30,440,833.28/6,142.96
  6. Step 6: Final answer
    x = 4,955.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.