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Finding the Fourth Proportional to 3,534, 5,303.16 and 2,073.84

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Solution

The fourth proportional to 3,534, 5,303.16 and 2,073.84 is: 3,112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,303.16 = 2,073.84 : x
  2. Step 2: Convert to fraction form
    3,534/5,303.16 = 2,073.84/x
  3. Step 3: Cross multiply
    3,534x = 5,303.16 × 2,073.84
  4. Step 4: Simplify right side
    3,534x = 10,997,905.33
  5. Step 5: Solve for x
    x = 10,997,905.33/3,534
  6. Step 6: Final answer
    x = 3,112.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.