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Finding the Fourth Proportional to 5,699.16, 8,546.70 and 2,412.51

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Solution

The fourth proportional to 5,699.16, 8,546.70 and 2,412.51 is: 3,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.16 : 8,546.70 = 2,412.51 : x
  2. Step 2: Convert to fraction form
    5,699.16/8,546.70 = 2,412.51/x
  3. Step 3: Cross multiply
    5,699.16x = 8,546.70 × 2,412.51
  4. Step 4: Simplify right side
    5,699.16x = 20,618,999.22
  5. Step 5: Solve for x
    x = 20,618,999.22/5,699.16
  6. Step 6: Final answer
    x = 3,617.90

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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.