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Finding the Fourth Proportional to 3,477.16, 5,216.34 and 1,137.64

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Solution

The fourth proportional to 3,477.16, 5,216.34 and 1,137.64 is: 1,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.16 : 5,216.34 = 1,137.64 : x
  2. Step 2: Convert to fraction form
    3,477.16/5,216.34 = 1,137.64/x
  3. Step 3: Cross multiply
    3,477.16x = 5,216.34 × 1,137.64
  4. Step 4: Simplify right side
    3,477.16x = 5,934,317.04
  5. Step 5: Solve for x
    x = 5,934,317.04/3,477.16
  6. Step 6: Final answer
    x = 1,706.66

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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.