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Finding the Fourth Proportional to 7,592.86, 10,478.22 and 4,235.90

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Solution

The fourth proportional to 7,592.86, 10,478.22 and 4,235.90 is: 5,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.86 : 10,478.22 = 4,235.90 : x
  2. Step 2: Convert to fraction form
    7,592.86/10,478.22 = 4,235.90/x
  3. Step 3: Cross multiply
    7,592.86x = 10,478.22 × 4,235.90
  4. Step 4: Simplify right side
    7,592.86x = 44,384,692.10
  5. Step 5: Solve for x
    x = 44,384,692.10/7,592.86
  6. Step 6: Final answer
    x = 5,845.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.