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Finding the Fourth Proportional to 4,814.37, 7,186.14 and 4,462.65

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Solution

The fourth proportional to 4,814.37, 7,186.14 and 4,462.65 is: 6,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.37 : 7,186.14 = 4,462.65 : x
  2. Step 2: Convert to fraction form
    4,814.37/7,186.14 = 4,462.65/x
  3. Step 3: Cross multiply
    4,814.37x = 7,186.14 × 4,462.65
  4. Step 4: Simplify right side
    4,814.37x = 32,069,227.67
  5. Step 5: Solve for x
    x = 32,069,227.67/4,814.37
  6. Step 6: Final answer
    x = 6,661.15

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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.