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Finding the Fourth Proportional to 5,200.11, 7,173 and 3,875.13

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Solution

The fourth proportional to 5,200.11, 7,173 and 3,875.13 is: 5,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.11 : 7,173 = 3,875.13 : x
  2. Step 2: Convert to fraction form
    5,200.11/7,173 = 3,875.13/x
  3. Step 3: Cross multiply
    5,200.11x = 7,173 × 3,875.13
  4. Step 4: Simplify right side
    5,200.11x = 27,796,307.49
  5. Step 5: Solve for x
    x = 27,796,307.49/5,200.11
  6. Step 6: Final answer
    x = 5,345.33

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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.