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Finding the Fourth Proportional to 4,256.22, 6,384.30 and 1,178.22

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Solution

The fourth proportional to 4,256.22, 6,384.30 and 1,178.22 is: 1,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.22 : 6,384.30 = 1,178.22 : x
  2. Step 2: Convert to fraction form
    4,256.22/6,384.30 = 1,178.22/x
  3. Step 3: Cross multiply
    4,256.22x = 6,384.30 × 1,178.22
  4. Step 4: Simplify right side
    4,256.22x = 7,522,109.95
  5. Step 5: Solve for x
    x = 7,522,109.95/4,256.22
  6. Step 6: Final answer
    x = 1,767.32

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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.