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Finding the Fourth Proportional to 3,670.40, 5,506.20 and 1,204.92

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Solution

The fourth proportional to 3,670.40, 5,506.20 and 1,204.92 is: 1,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.40 : 5,506.20 = 1,204.92 : x
  2. Step 2: Convert to fraction form
    3,670.40/5,506.20 = 1,204.92/x
  3. Step 3: Cross multiply
    3,670.40x = 5,506.20 × 1,204.92
  4. Step 4: Simplify right side
    3,670.40x = 6,634,530.50
  5. Step 5: Solve for x
    x = 6,634,530.50/3,670.40
  6. Step 6: Final answer
    x = 1,807.58

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Why These Related Problems?

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