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Finding the Fourth Proportional to 4,754.10, 6,596.49 and 4,618.02

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Solution

The fourth proportional to 4,754.10, 6,596.49 and 4,618.02 is: 6,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.10 : 6,596.49 = 4,618.02 : x
  2. Step 2: Convert to fraction form
    4,754.10/6,596.49 = 4,618.02/x
  3. Step 3: Cross multiply
    4,754.10x = 6,596.49 × 4,618.02
  4. Step 4: Simplify right side
    4,754.10x = 30,462,722.75
  5. Step 5: Solve for x
    x = 30,462,722.75/4,754.10
  6. Step 6: Final answer
    x = 6,407.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.