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Finding the Fourth Proportional to 4,473.72, 6,698.16 and 2,277.72

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Solution

The fourth proportional to 4,473.72, 6,698.16 and 2,277.72 is: 3,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.72 : 6,698.16 = 2,277.72 : x
  2. Step 2: Convert to fraction form
    4,473.72/6,698.16 = 2,277.72/x
  3. Step 3: Cross multiply
    4,473.72x = 6,698.16 × 2,277.72
  4. Step 4: Simplify right side
    4,473.72x = 15,256,533.00
  5. Step 5: Solve for x
    x = 15,256,533.00/4,473.72
  6. Step 6: Final answer
    x = 3,410.26

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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.