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Finding the Fourth Proportional to 5,068.68, 7,605.63 and 3,835.68

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Solution

The fourth proportional to 5,068.68, 7,605.63 and 3,835.68 is: 5,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.68 : 7,605.63 = 3,835.68 : x
  2. Step 2: Convert to fraction form
    5,068.68/7,605.63 = 3,835.68/x
  3. Step 3: Cross multiply
    5,068.68x = 7,605.63 × 3,835.68
  4. Step 4: Simplify right side
    5,068.68x = 29,172,762.88
  5. Step 5: Solve for x
    x = 29,172,762.88/5,068.68
  6. Step 6: Final answer
    x = 5,755.50

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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.