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Finding the Fourth Proportional to 5,347.82, 7,383.44 and 3,460.34

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Solution

The fourth proportional to 5,347.82, 7,383.44 and 3,460.34 is: 4,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.82 : 7,383.44 = 3,460.34 : x
  2. Step 2: Convert to fraction form
    5,347.82/7,383.44 = 3,460.34/x
  3. Step 3: Cross multiply
    5,347.82x = 7,383.44 × 3,460.34
  4. Step 4: Simplify right side
    5,347.82x = 25,549,195.47
  5. Step 5: Solve for x
    x = 25,549,195.47/5,347.82
  6. Step 6: Final answer
    x = 4,777.50

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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.