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Finding the Fourth Proportional to 5,267.65, 7,853.54 and 4,676

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Solution

The fourth proportional to 5,267.65, 7,853.54 and 4,676 is: 6,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.65 : 7,853.54 = 4,676 : x
  2. Step 2: Convert to fraction form
    5,267.65/7,853.54 = 4,676/x
  3. Step 3: Cross multiply
    5,267.65x = 7,853.54 × 4,676
  4. Step 4: Simplify right side
    5,267.65x = 36,723,153.04
  5. Step 5: Solve for x
    x = 36,723,153.04/5,267.65
  6. Step 6: Final answer
    x = 6,971.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.