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Finding the Fourth Proportional to 4,557.72, 6,838.78 and 2,477.64

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Solution

The fourth proportional to 4,557.72, 6,838.78 and 2,477.64 is: 3,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.72 : 6,838.78 = 2,477.64 : x
  2. Step 2: Convert to fraction form
    4,557.72/6,838.78 = 2,477.64/x
  3. Step 3: Cross multiply
    4,557.72x = 6,838.78 × 2,477.64
  4. Step 4: Simplify right side
    4,557.72x = 16,944,034.88
  5. Step 5: Solve for x
    x = 16,944,034.88/4,557.72
  6. Step 6: Final answer
    x = 3,717.66

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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.