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Finding the Fourth Proportional to 4,189.86, 6,285.48 and 1,416.78

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Solution

The fourth proportional to 4,189.86, 6,285.48 and 1,416.78 is: 2,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.86 : 6,285.48 = 1,416.78 : x
  2. Step 2: Convert to fraction form
    4,189.86/6,285.48 = 1,416.78/x
  3. Step 3: Cross multiply
    4,189.86x = 6,285.48 × 1,416.78
  4. Step 4: Simplify right side
    4,189.86x = 8,905,142.35
  5. Step 5: Solve for x
    x = 8,905,142.35/4,189.86
  6. Step 6: Final answer
    x = 2,125.40

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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.