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Finding the Fourth Proportional to 3,185.58, 4,392.57 and 2,177.46

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Solution

The fourth proportional to 3,185.58, 4,392.57 and 2,177.46 is: 3,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.58 : 4,392.57 = 2,177.46 : x
  2. Step 2: Convert to fraction form
    3,185.58/4,392.57 = 2,177.46/x
  3. Step 3: Cross multiply
    3,185.58x = 4,392.57 × 2,177.46
  4. Step 4: Simplify right side
    3,185.58x = 9,564,645.47
  5. Step 5: Solve for x
    x = 9,564,645.47/3,185.58
  6. Step 6: Final answer
    x = 3,002.48

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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.