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Finding the Fourth Proportional to 3,605.42, 5,409.70 and 1,267.10

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Solution

The fourth proportional to 3,605.42, 5,409.70 and 1,267.10 is: 1,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.42 : 5,409.70 = 1,267.10 : x
  2. Step 2: Convert to fraction form
    3,605.42/5,409.70 = 1,267.10/x
  3. Step 3: Cross multiply
    3,605.42x = 5,409.70 × 1,267.10
  4. Step 4: Simplify right side
    3,605.42x = 6,854,630.87
  5. Step 5: Solve for x
    x = 6,854,630.87/3,605.42
  6. Step 6: Final answer
    x = 1,901.20

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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.