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Finding the Fourth Proportional to 3,477.75, 5,210.53 and 2,896.49

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Solution

The fourth proportional to 3,477.75, 5,210.53 and 2,896.49 is: 4,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.75 : 5,210.53 = 2,896.49 : x
  2. Step 2: Convert to fraction form
    3,477.75/5,210.53 = 2,896.49/x
  3. Step 3: Cross multiply
    3,477.75x = 5,210.53 × 2,896.49
  4. Step 4: Simplify right side
    3,477.75x = 15,092,253.82
  5. Step 5: Solve for x
    x = 15,092,253.82/3,477.75
  6. Step 6: Final answer
    x = 4,339.66

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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.