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Finding the Fourth Proportional to 4,254.52, 6,381.80 and 1,176.52

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Solution

The fourth proportional to 4,254.52, 6,381.80 and 1,176.52 is: 1,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.52 : 6,381.80 = 1,176.52 : x
  2. Step 2: Convert to fraction form
    4,254.52/6,381.80 = 1,176.52/x
  3. Step 3: Cross multiply
    4,254.52x = 6,381.80 × 1,176.52
  4. Step 4: Simplify right side
    4,254.52x = 7,508,315.34
  5. Step 5: Solve for x
    x = 7,508,315.34/4,254.52
  6. Step 6: Final answer
    x = 1,764.79

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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.