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Finding the Fourth Proportional to 5,403.78, 7,456.77 and 3,046.50

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Solution

The fourth proportional to 5,403.78, 7,456.77 and 3,046.50 is: 4,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.78 : 7,456.77 = 3,046.50 : x
  2. Step 2: Convert to fraction form
    5,403.78/7,456.77 = 3,046.50/x
  3. Step 3: Cross multiply
    5,403.78x = 7,456.77 × 3,046.50
  4. Step 4: Simplify right side
    5,403.78x = 22,717,049.81
  5. Step 5: Solve for x
    x = 22,717,049.81/5,403.78
  6. Step 6: Final answer
    x = 4,203.92

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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.