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Finding the Fourth Proportional to 4,100.64, 6,137.58 and 3,004.74

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Solution

The fourth proportional to 4,100.64, 6,137.58 and 3,004.74 is: 4,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.64 : 6,137.58 = 3,004.74 : x
  2. Step 2: Convert to fraction form
    4,100.64/6,137.58 = 3,004.74/x
  3. Step 3: Cross multiply
    4,100.64x = 6,137.58 × 3,004.74
  4. Step 4: Simplify right side
    4,100.64x = 18,441,832.13
  5. Step 5: Solve for x
    x = 18,441,832.13/4,100.64
  6. Step 6: Final answer
    x = 4,497.31

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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.