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Finding the Fourth Proportional to 3,602.09, 4,970.13 and 2,186.52

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Solution

The fourth proportional to 3,602.09, 4,970.13 and 2,186.52 is: 3,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.09 : 4,970.13 = 2,186.52 : x
  2. Step 2: Convert to fraction form
    3,602.09/4,970.13 = 2,186.52/x
  3. Step 3: Cross multiply
    3,602.09x = 4,970.13 × 2,186.52
  4. Step 4: Simplify right side
    3,602.09x = 10,867,296.85
  5. Step 5: Solve for x
    x = 10,867,296.85/3,602.09
  6. Step 6: Final answer
    x = 3,016.94

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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.