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Finding the Fourth Proportional to 3,486.64, 5,230.50 and 1,295.08

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Solution

The fourth proportional to 3,486.64, 5,230.50 and 1,295.08 is: 1,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.64 : 5,230.50 = 1,295.08 : x
  2. Step 2: Convert to fraction form
    3,486.64/5,230.50 = 1,295.08/x
  3. Step 3: Cross multiply
    3,486.64x = 5,230.50 × 1,295.08
  4. Step 4: Simplify right side
    3,486.64x = 6,773,915.94
  5. Step 5: Solve for x
    x = 6,773,915.94/3,486.64
  6. Step 6: Final answer
    x = 1,942.82

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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.