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Finding the Fourth Proportional to 3,445.74, 4,762.12 and 2,606.16

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Solution

The fourth proportional to 3,445.74, 4,762.12 and 2,606.16 is: 3,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.74 : 4,762.12 = 2,606.16 : x
  2. Step 2: Convert to fraction form
    3,445.74/4,762.12 = 2,606.16/x
  3. Step 3: Cross multiply
    3,445.74x = 4,762.12 × 2,606.16
  4. Step 4: Simplify right side
    3,445.74x = 12,410,846.66
  5. Step 5: Solve for x
    x = 12,410,846.66/3,445.74
  6. Step 6: Final answer
    x = 3,601.79

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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.