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Finding the Fourth Proportional to 3,941.64, 5,913.10 and 1,205

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Solution

The fourth proportional to 3,941.64, 5,913.10 and 1,205 is: 1,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.64 : 5,913.10 = 1,205 : x
  2. Step 2: Convert to fraction form
    3,941.64/5,913.10 = 1,205/x
  3. Step 3: Cross multiply
    3,941.64x = 5,913.10 × 1,205
  4. Step 4: Simplify right side
    3,941.64x = 7,125,285.50
  5. Step 5: Solve for x
    x = 7,125,285.50/3,941.64
  6. Step 6: Final answer
    x = 1,807.70

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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.