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Finding the Fourth Proportional to 3,477.36, 5,216.04 and 2,187.84

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Solution

The fourth proportional to 3,477.36, 5,216.04 and 2,187.84 is: 3,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.36 : 5,216.04 = 2,187.84 : x
  2. Step 2: Convert to fraction form
    3,477.36/5,216.04 = 2,187.84/x
  3. Step 3: Cross multiply
    3,477.36x = 5,216.04 × 2,187.84
  4. Step 4: Simplify right side
    3,477.36x = 11,411,860.95
  5. Step 5: Solve for x
    x = 11,411,860.95/3,477.36
  6. Step 6: Final answer
    x = 3,281.76

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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.