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Finding the Fourth Proportional to 4,754.24, 7,094.66 and 4,178.30

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Solution

The fourth proportional to 4,754.24, 7,094.66 and 4,178.30 is: 6,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.24 : 7,094.66 = 4,178.30 : x
  2. Step 2: Convert to fraction form
    4,754.24/7,094.66 = 4,178.30/x
  3. Step 3: Cross multiply
    4,754.24x = 7,094.66 × 4,178.30
  4. Step 4: Simplify right side
    4,754.24x = 29,643,617.88
  5. Step 5: Solve for x
    x = 29,643,617.88/4,754.24
  6. Step 6: Final answer
    x = 6,235.20

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