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Finding the Fourth Proportional to 3,751.66, 5,617.41 and 3,055.47

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Solution

The fourth proportional to 3,751.66, 5,617.41 and 3,055.47 is: 4,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.66 : 5,617.41 = 3,055.47 : x
  2. Step 2: Convert to fraction form
    3,751.66/5,617.41 = 3,055.47/x
  3. Step 3: Cross multiply
    3,751.66x = 5,617.41 × 3,055.47
  4. Step 4: Simplify right side
    3,751.66x = 17,163,827.73
  5. Step 5: Solve for x
    x = 17,163,827.73/3,751.66
  6. Step 6: Final answer
    x = 4,575.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.