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Finding the Fourth Proportional to 3,477.50, 4,798.36 and 2,297.94

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Solution

The fourth proportional to 3,477.50, 4,798.36 and 2,297.94 is: 3,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.50 : 4,798.36 = 2,297.94 : x
  2. Step 2: Convert to fraction form
    3,477.50/4,798.36 = 2,297.94/x
  3. Step 3: Cross multiply
    3,477.50x = 4,798.36 × 2,297.94
  4. Step 4: Simplify right side
    3,477.50x = 11,026,343.38
  5. Step 5: Solve for x
    x = 11,026,343.38/3,477.50
  6. Step 6: Final answer
    x = 3,170.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.