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Finding the Fourth Proportional to 5,673.64, 8,514.30 and 1,975.90

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Solution

The fourth proportional to 5,673.64, 8,514.30 and 1,975.90 is: 2,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.64 : 8,514.30 = 1,975.90 : x
  2. Step 2: Convert to fraction form
    5,673.64/8,514.30 = 1,975.90/x
  3. Step 3: Cross multiply
    5,673.64x = 8,514.30 × 1,975.90
  4. Step 4: Simplify right side
    5,673.64x = 16,823,405.37
  5. Step 5: Solve for x
    x = 16,823,405.37/5,673.64
  6. Step 6: Final answer
    x = 2,965.19

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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.