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Finding the Fourth Proportional to 4,094.18, 5,650.06 and 2,416

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Solution

The fourth proportional to 4,094.18, 5,650.06 and 2,416 is: 3,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.18 : 5,650.06 = 2,416 : x
  2. Step 2: Convert to fraction form
    4,094.18/5,650.06 = 2,416/x
  3. Step 3: Cross multiply
    4,094.18x = 5,650.06 × 2,416
  4. Step 4: Simplify right side
    4,094.18x = 13,650,544.96
  5. Step 5: Solve for x
    x = 13,650,544.96/4,094.18
  6. Step 6: Final answer
    x = 3,334.13

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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.