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Finding the Fourth Proportional to 5,189.57, 7,812.05 and 4,653.75

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Solution

The fourth proportional to 5,189.57, 7,812.05 and 4,653.75 is: 7,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.57 : 7,812.05 = 4,653.75 : x
  2. Step 2: Convert to fraction form
    5,189.57/7,812.05 = 4,653.75/x
  3. Step 3: Cross multiply
    5,189.57x = 7,812.05 × 4,653.75
  4. Step 4: Simplify right side
    5,189.57x = 36,355,327.69
  5. Step 5: Solve for x
    x = 36,355,327.69/5,189.57
  6. Step 6: Final answer
    x = 7,005.46

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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.