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Finding the Fourth Proportional to 5,802.50, 8,692.22 and 2,871.86

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Solution

The fourth proportional to 5,802.50, 8,692.22 and 2,871.86 is: 4,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.50 : 8,692.22 = 2,871.86 : x
  2. Step 2: Convert to fraction form
    5,802.50/8,692.22 = 2,871.86/x
  3. Step 3: Cross multiply
    5,802.50x = 8,692.22 × 2,871.86
  4. Step 4: Simplify right side
    5,802.50x = 24,962,838.93
  5. Step 5: Solve for x
    x = 24,962,838.93/5,802.50
  6. Step 6: Final answer
    x = 4,302.08

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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.