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Finding the Fourth Proportional to 3,746.66, 5,617.22 and 2,266.45

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Solution

The fourth proportional to 3,746.66, 5,617.22 and 2,266.45 is: 3,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.66 : 5,617.22 = 2,266.45 : x
  2. Step 2: Convert to fraction form
    3,746.66/5,617.22 = 2,266.45/x
  3. Step 3: Cross multiply
    3,746.66x = 5,617.22 × 2,266.45
  4. Step 4: Simplify right side
    3,746.66x = 12,731,122.89
  5. Step 5: Solve for x
    x = 12,731,122.89/3,746.66
  6. Step 6: Final answer
    x = 3,398.00

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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.