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Finding the Fourth Proportional to 3,403.08, 5,103.54 and 937.53

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Solution

The fourth proportional to 3,403.08, 5,103.54 and 937.53 is: 1,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.08 : 5,103.54 = 937.53 : x
  2. Step 2: Convert to fraction form
    3,403.08/5,103.54 = 937.53/x
  3. Step 3: Cross multiply
    3,403.08x = 5,103.54 × 937.53
  4. Step 4: Simplify right side
    3,403.08x = 4,784,721.86
  5. Step 5: Solve for x
    x = 4,784,721.86/3,403.08
  6. Step 6: Final answer
    x = 1,406.00

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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.