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Finding the Fourth Proportional to 5,493.12, 7,580.61 and 3,009.12

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Solution

The fourth proportional to 5,493.12, 7,580.61 and 3,009.12 is: 4,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.12 : 7,580.61 = 3,009.12 : x
  2. Step 2: Convert to fraction form
    5,493.12/7,580.61 = 3,009.12/x
  3. Step 3: Cross multiply
    5,493.12x = 7,580.61 × 3,009.12
  4. Step 4: Simplify right side
    5,493.12x = 22,810,965.16
  5. Step 5: Solve for x
    x = 22,810,965.16/5,493.12
  6. Step 6: Final answer
    x = 4,152.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.