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Finding the Fourth Proportional to 4,137.48, 6,211.08 and 2,407.32

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Solution

The fourth proportional to 4,137.48, 6,211.08 and 2,407.32 is: 3,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.48 : 6,211.08 = 2,407.32 : x
  2. Step 2: Convert to fraction form
    4,137.48/6,211.08 = 2,407.32/x
  3. Step 3: Cross multiply
    4,137.48x = 6,211.08 × 2,407.32
  4. Step 4: Simplify right side
    4,137.48x = 14,952,057.11
  5. Step 5: Solve for x
    x = 14,952,057.11/4,137.48
  6. Step 6: Final answer
    x = 3,613.81

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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.