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Finding the Fourth Proportional to 5,122.39, 7,071.08 and 3,444.77

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Solution

The fourth proportional to 5,122.39, 7,071.08 and 3,444.77 is: 4,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.39 : 7,071.08 = 3,444.77 : x
  2. Step 2: Convert to fraction form
    5,122.39/7,071.08 = 3,444.77/x
  3. Step 3: Cross multiply
    5,122.39x = 7,071.08 × 3,444.77
  4. Step 4: Simplify right side
    5,122.39x = 24,358,244.25
  5. Step 5: Solve for x
    x = 24,358,244.25/5,122.39
  6. Step 6: Final answer
    x = 4,755.25

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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.