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Finding the Fourth Proportional to 5,164.21, 7,785.22 and 4,830.13

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Solution

The fourth proportional to 5,164.21, 7,785.22 and 4,830.13 is: 7,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.21 : 7,785.22 = 4,830.13 : x
  2. Step 2: Convert to fraction form
    5,164.21/7,785.22 = 4,830.13/x
  3. Step 3: Cross multiply
    5,164.21x = 7,785.22 × 4,830.13
  4. Step 4: Simplify right side
    5,164.21x = 37,603,624.68
  5. Step 5: Solve for x
    x = 37,603,624.68/5,164.21
  6. Step 6: Final answer
    x = 7,281.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.