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Finding the Fourth Proportional to 4,830.58, 7,188.17 and 4,814.20

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Solution

The fourth proportional to 4,830.58, 7,188.17 and 4,814.20 is: 7,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.58 : 7,188.17 = 4,814.20 : x
  2. Step 2: Convert to fraction form
    4,830.58/7,188.17 = 4,814.20/x
  3. Step 3: Cross multiply
    4,830.58x = 7,188.17 × 4,814.20
  4. Step 4: Simplify right side
    4,830.58x = 34,605,288.01
  5. Step 5: Solve for x
    x = 34,605,288.01/4,830.58
  6. Step 6: Final answer
    x = 7,163.80

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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.