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Finding the Fourth Proportional to 5,406.09, 7,459.54 and 3,047.77

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Solution

The fourth proportional to 5,406.09, 7,459.54 and 3,047.77 is: 4,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.09 : 7,459.54 = 3,047.77 : x
  2. Step 2: Convert to fraction form
    5,406.09/7,459.54 = 3,047.77/x
  3. Step 3: Cross multiply
    5,406.09x = 7,459.54 × 3,047.77
  4. Step 4: Simplify right side
    5,406.09x = 22,734,963.93
  5. Step 5: Solve for x
    x = 22,734,963.93/5,406.09
  6. Step 6: Final answer
    x = 4,205.44

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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.