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Finding the Fourth Proportional to 4,054, 5,597.20 and 3,774.92

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Solution

The fourth proportional to 4,054, 5,597.20 and 3,774.92 is: 5,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054 : 5,597.20 = 3,774.92 : x
  2. Step 2: Convert to fraction form
    4,054/5,597.20 = 3,774.92/x
  3. Step 3: Cross multiply
    4,054x = 5,597.20 × 3,774.92
  4. Step 4: Simplify right side
    4,054x = 21,128,982.22
  5. Step 5: Solve for x
    x = 21,128,982.22/4,054
  6. Step 6: Final answer
    x = 5,211.89

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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.