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Finding the Fourth Proportional to 5,957.65, 8,935.74 and 3,460.21

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Solution

The fourth proportional to 5,957.65, 8,935.74 and 3,460.21 is: 5,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.65 : 8,935.74 = 3,460.21 : x
  2. Step 2: Convert to fraction form
    5,957.65/8,935.74 = 3,460.21/x
  3. Step 3: Cross multiply
    5,957.65x = 8,935.74 × 3,460.21
  4. Step 4: Simplify right side
    5,957.65x = 30,919,536.91
  5. Step 5: Solve for x
    x = 30,919,536.91/5,957.65
  6. Step 6: Final answer
    x = 5,189.89

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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.