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Finding the Fourth Proportional to 4,642.56, 6,406.74 and 2,653.11

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Solution

The fourth proportional to 4,642.56, 6,406.74 and 2,653.11 is: 3,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.56 : 6,406.74 = 2,653.11 : x
  2. Step 2: Convert to fraction form
    4,642.56/6,406.74 = 2,653.11/x
  3. Step 3: Cross multiply
    4,642.56x = 6,406.74 × 2,653.11
  4. Step 4: Simplify right side
    4,642.56x = 16,997,785.96
  5. Step 5: Solve for x
    x = 16,997,785.96/4,642.56
  6. Step 6: Final answer
    x = 3,661.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.