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Finding the Fourth Proportional to 5,572.57, 7,690.25 and 3,054.64

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Solution

The fourth proportional to 5,572.57, 7,690.25 and 3,054.64 is: 4,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.57 : 7,690.25 = 3,054.64 : x
  2. Step 2: Convert to fraction form
    5,572.57/7,690.25 = 3,054.64/x
  3. Step 3: Cross multiply
    5,572.57x = 7,690.25 × 3,054.64
  4. Step 4: Simplify right side
    5,572.57x = 23,490,945.26
  5. Step 5: Solve for x
    x = 23,490,945.26/5,572.57
  6. Step 6: Final answer
    x = 4,215.46

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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.