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Finding the Fourth Proportional to 3,475.35, 5,214.47 and 1,833.35

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Solution

The fourth proportional to 3,475.35, 5,214.47 and 1,833.35 is: 2,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.35 : 5,214.47 = 1,833.35 : x
  2. Step 2: Convert to fraction form
    3,475.35/5,214.47 = 1,833.35/x
  3. Step 3: Cross multiply
    3,475.35x = 5,214.47 × 1,833.35
  4. Step 4: Simplify right side
    3,475.35x = 9,559,913.34
  5. Step 5: Solve for x
    x = 9,559,913.34/3,475.35
  6. Step 6: Final answer
    x = 2,750.78

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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.