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Finding the Fourth Proportional to 4,995.68, 7,478.40 and 4,013.60

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Solution

The fourth proportional to 4,995.68, 7,478.40 and 4,013.60 is: 6,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.68 : 7,478.40 = 4,013.60 : x
  2. Step 2: Convert to fraction form
    4,995.68/7,478.40 = 4,013.60/x
  3. Step 3: Cross multiply
    4,995.68x = 7,478.40 × 4,013.60
  4. Step 4: Simplify right side
    4,995.68x = 30,015,306.24
  5. Step 5: Solve for x
    x = 30,015,306.24/4,995.68
  6. Step 6: Final answer
    x = 6,008.25

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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.