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Finding the Fourth Proportional to 4,046.64, 6,038.22 and 3,798.96

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Solution

The fourth proportional to 4,046.64, 6,038.22 and 3,798.96 is: 5,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.64 : 6,038.22 = 3,798.96 : x
  2. Step 2: Convert to fraction form
    4,046.64/6,038.22 = 3,798.96/x
  3. Step 3: Cross multiply
    4,046.64x = 6,038.22 × 3,798.96
  4. Step 4: Simplify right side
    4,046.64x = 22,938,956.25
  5. Step 5: Solve for x
    x = 22,938,956.25/4,046.64
  6. Step 6: Final answer
    x = 5,668.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.