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Finding the Fourth Proportional to 5,671.99, 8,508.02 and 1,971.64

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Solution

The fourth proportional to 5,671.99, 8,508.02 and 1,971.64 is: 2,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.99 : 8,508.02 = 1,971.64 : x
  2. Step 2: Convert to fraction form
    5,671.99/8,508.02 = 1,971.64/x
  3. Step 3: Cross multiply
    5,671.99x = 8,508.02 × 1,971.64
  4. Step 4: Simplify right side
    5,671.99x = 16,774,764.42
  5. Step 5: Solve for x
    x = 16,774,764.42/5,671.99
  6. Step 6: Final answer
    x = 2,957.47

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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.