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Finding the Fourth Proportional to 5,669.24, 8,509.03 and 2,897.83

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Solution

The fourth proportional to 5,669.24, 8,509.03 and 2,897.83 is: 4,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.24 : 8,509.03 = 2,897.83 : x
  2. Step 2: Convert to fraction form
    5,669.24/8,509.03 = 2,897.83/x
  3. Step 3: Cross multiply
    5,669.24x = 8,509.03 × 2,897.83
  4. Step 4: Simplify right side
    5,669.24x = 24,657,722.40
  5. Step 5: Solve for x
    x = 24,657,722.40/5,669.24
  6. Step 6: Final answer
    x = 4,349.39

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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.