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Finding the Fourth Proportional to 4,254.36, 6,381.36 and 1,176.36

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Solution

The fourth proportional to 4,254.36, 6,381.36 and 1,176.36 is: 1,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.36 : 6,381.36 = 1,176.36 : x
  2. Step 2: Convert to fraction form
    4,254.36/6,381.36 = 1,176.36/x
  3. Step 3: Cross multiply
    4,254.36x = 6,381.36 × 1,176.36
  4. Step 4: Simplify right side
    4,254.36x = 7,506,776.65
  5. Step 5: Solve for x
    x = 7,506,776.65/4,254.36
  6. Step 6: Final answer
    x = 1,764.49

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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.