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Finding the Fourth Proportional to 5,673.63, 8,503.05 and 2,897.96

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Solution

The fourth proportional to 5,673.63, 8,503.05 and 2,897.96 is: 4,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.63 : 8,503.05 = 2,897.96 : x
  2. Step 2: Convert to fraction form
    5,673.63/8,503.05 = 2,897.96/x
  3. Step 3: Cross multiply
    5,673.63x = 8,503.05 × 2,897.96
  4. Step 4: Simplify right side
    5,673.63x = 24,641,520.04
  5. Step 5: Solve for x
    x = 24,641,520.04/5,673.63
  6. Step 6: Final answer
    x = 4,343.17

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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.