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Finding the Fourth Proportional to 4,367, 6,549.70 and 1,869.58

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Solution

The fourth proportional to 4,367, 6,549.70 and 1,869.58 is: 2,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367 : 6,549.70 = 1,869.58 : x
  2. Step 2: Convert to fraction form
    4,367/6,549.70 = 1,869.58/x
  3. Step 3: Cross multiply
    4,367x = 6,549.70 × 1,869.58
  4. Step 4: Simplify right side
    4,367x = 12,245,188.13
  5. Step 5: Solve for x
    x = 12,245,188.13/4,367
  6. Step 6: Final answer
    x = 2,804.03

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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.