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Finding the Fourth Proportional to 5,624.12, 8,430.77 and 3,775.75

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Solution

The fourth proportional to 5,624.12, 8,430.77 and 3,775.75 is: 5,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.12 : 8,430.77 = 3,775.75 : x
  2. Step 2: Convert to fraction form
    5,624.12/8,430.77 = 3,775.75/x
  3. Step 3: Cross multiply
    5,624.12x = 8,430.77 × 3,775.75
  4. Step 4: Simplify right side
    5,624.12x = 31,832,468.19
  5. Step 5: Solve for x
    x = 31,832,468.19/5,624.12
  6. Step 6: Final answer
    x = 5,659.99

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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.