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Finding the Fourth Proportional to 5,957.69, 8,935.77 and 1,575.49

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Solution

The fourth proportional to 5,957.69, 8,935.77 and 1,575.49 is: 2,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.69 : 8,935.77 = 1,575.49 : x
  2. Step 2: Convert to fraction form
    5,957.69/8,935.77 = 1,575.49/x
  3. Step 3: Cross multiply
    5,957.69x = 8,935.77 × 1,575.49
  4. Step 4: Simplify right side
    5,957.69x = 14,078,216.28
  5. Step 5: Solve for x
    x = 14,078,216.28/5,957.69
  6. Step 6: Final answer
    x = 2,363.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.