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Finding the Fourth Proportional to 5,406.08, 7,463.76 and 3,544.16

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Solution

The fourth proportional to 5,406.08, 7,463.76 and 3,544.16 is: 4,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.08 : 7,463.76 = 3,544.16 : x
  2. Step 2: Convert to fraction form
    5,406.08/7,463.76 = 3,544.16/x
  3. Step 3: Cross multiply
    5,406.08x = 7,463.76 × 3,544.16
  4. Step 4: Simplify right side
    5,406.08x = 26,452,759.64
  5. Step 5: Solve for x
    x = 26,452,759.64/5,406.08
  6. Step 6: Final answer
    x = 4,893.15

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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.