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Finding the Fourth Proportional to 3,674.52, 5,070.87 and 2,102.67

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Solution

The fourth proportional to 3,674.52, 5,070.87 and 2,102.67 is: 2,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.52 : 5,070.87 = 2,102.67 : x
  2. Step 2: Convert to fraction form
    3,674.52/5,070.87 = 2,102.67/x
  3. Step 3: Cross multiply
    3,674.52x = 5,070.87 × 2,102.67
  4. Step 4: Simplify right side
    3,674.52x = 10,662,366.22
  5. Step 5: Solve for x
    x = 10,662,366.22/3,674.52
  6. Step 6: Final answer
    x = 2,901.70

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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.