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Finding the Fourth Proportional to 3,511.04, 5,267.16 and 1,202

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Solution

The fourth proportional to 3,511.04, 5,267.16 and 1,202 is: 1,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.04 : 5,267.16 = 1,202 : x
  2. Step 2: Convert to fraction form
    3,511.04/5,267.16 = 1,202/x
  3. Step 3: Cross multiply
    3,511.04x = 5,267.16 × 1,202
  4. Step 4: Simplify right side
    3,511.04x = 6,331,126.32
  5. Step 5: Solve for x
    x = 6,331,126.32/3,511.04
  6. Step 6: Final answer
    x = 1,803.21

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